Earth-Mars Artificial-G NEP Architecture Sun-Earth L2 Architecture 3-Week Parametric Trade Study
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Transcript of Earth-Mars Artificial-G NEP Architecture Sun-Earth L2 Architecture 3-Week Parametric Trade Study
1
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFC
Earth-Mars Artificial-G NEP ArchitectureSun-Earth L2 Architecture
3-Week Parametric Trade Study
Presented to JSC/Exploration OfficeMarch 3, 2003
Low Thrust Trajectory Team – GRC, JPL, JSC, MSFC
Presentation prepared by: Jerry Condon / JSC / EG5 / 281.483.8173 / [email protected]
Preliminary
2
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCInter-center Study Team
GRCMelissa McGuire, Rob Falk
JPLJon Sims, Greg Whiffen
JSCJerry Condon, Ellen Braden, Dave Lee, Kyle Brewer, Carlos Westhelle
Jim Geffre
MSFCReginald Alexander, Larry Kos, Kirk Sorensen
3
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFC3- Week Study
2 Studies – NEP parametric mission design trades Study 1 - Round trip Earth/Mars mission
Augment results from NEP (EM-L1 departure) study done last year at JSC
Determine cost (mass, time) to depart from Earth orbit and spiral to/from selected Mars parking orbits for Earth return
Study 2 - Sun-Earth libration point (L2) missionDeploy/maintenance of satellite constellation
Dress rehearsal for Mars mission
Due date – March 3, 2003
CustomersJSC/ExPO – Kent Joosten, Bret Drake, Brenda Ward, etc.
HQ/Gary Martin
4
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCContents
Study 1 - Round Trip Earth/Mars Mission
Study 2 - Sun-Earth L2 Libration Point Mission
AppendixA. Mars Arrival Parking Orbit Analysis
B. Mars Parking Orbit Lifetime
C. Integrated Reference Mission
D. Effects of Parking Orbit Geometry on Mars Lander Mass
E. Trapped Proton Belt Data
5
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFC
Study 1Round Trip Earth/Mars Mission
6
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCAssumptions
Two vehiclesNEP Mars Transfer Vehicle (MTV)
Object of parametric study
Lander/Ascent Vehicle (LAV)Previously deployed at Mars
Use same vehicle specifications as last year (2002) study for Artificial Gravity Mars transfer vehicle*:
Power = 6 MW, Engine efficiency = 60%, Isp = 4000 sec, Tankage fraction = 5%Final mass target (back at Earth) = 89mt
No thrust vector turning constraintsDetermine vehicle thrust vector steering requirements unconstrained by Artificial Gravity (AG) vehicle configurationsResults may influence AG vehicle configurations
2026 opportunity, <90 day stay in Mars vicinity >30 days surface stayInitial Earth orbit 700 km circular LEOCrew taxi transfers crew from ground to crew transfer altitude (30,000 – 90,000 km)No constraint on heliocentric closest approach to Sun
Round Trip Earth/Mars Mission
* Preliminary Assessment of Artificial Gravity Impacts to Deep-Space Vehicle Design, JSC/EX Document No. EX-02-50, 2002
Fire BatonArtificial-G NEP
Mars Transfer Vehicle
7
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCGoals and Objectives
Perform parametric study to enhance understanding of propellant and trip time requirements for both a round trip Earth-Mars mission and a Sun-Earth L2 Libration Point mission
Compare results generated using different tools (e.g., VariTOP, RAPTOR, Copernicus, Mystic)
Minimize initial mass in low Earth orbit (IMLEO)
Crewed trip time <700 days
Perform parametric assessment of Mars parking orbit altitudeDetermine preferred (minimum propellant mass) orbit apoapse and periapse altitudes for selected semi-major axis altitude targets
Compare against circular orbit altitudes for same semi-major axis target
Understand effect of parking orbit geometry on lander vehicle mass
8
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCMission Overview
LEO (700 km)
Helio
centr
ic F
light
Eart
h -
Mars
Launch
CrewReturn
HEO30,000 –> 90,000 km
(Circular Orbits)
Pre-deployedMars Lander
500 -> 90,000 km(Elliptical or Circular Orbits)
Launch of NEPTransfer Vehicle
Launch OfCrew Taxi
On-orbit Construction of Transfer Vehicle
Launch forCrew Pickup
Landing
Rendezvous/Dock Of Crew Taxi and Mars Transfer Vehicle
Crew Delivery Taxi(Possible Emergency Return Vehicle)
Helio
centric Flig
ht
Mars - E
arth
Rendezvous/DockOf Descent/Ascent VehicleAnd Mars Transfer Vehicle
>30 Day Surface Stay
Mars Crew Transfer VehicleConstant ThrustPower = 6 MWEfficiency = 60%Isp = 4000 secMass Return to Earth = 89 mt
Mars Crew Transfer VehicleConstant ThrustPower = 6 MWEfficiency = 60%Isp = 4000 secMass Return to Earth = 89 mt
Round Trip Earth/Mars Mission
Courtesy: Jerry Condon/JSC
9
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCMission Overview
Spiral NEP Mars transfer vehicle from LEO (700 km) to selected crew transfer orbit (flight crew not onboard)Crew taxi launches from ground to Mars transfer vehicle (30,000 – 90,000 km)
Crewed mission begins with crew transferred to Mars transfer vehicle above the trapped proton radiation belt
Avoids crew spiral through proton radiation beltCrew will, however, spiral through the larger trapped electron belt
Mars transfer vehicle spirals from crew transfer orbit to heliocentric orbit targeted to MarsMars transfer vehicle transitions from heliocentric space to selected Mars parking orbit (semi-major axis) altitude target (500-90,000 km)Mars surface stay (>30 days)After surface mission complete, Mars transfer vehicle spirals from Mars parking orbit (500-90,000 km) to heliocentric space targeted to Earth returnMars transfer vehicle transitions from heliocentric space to original crew transfer orbit at Earth (30,000 – 90,000 km) for crew pick-up with crew taxi
Round Trip Earth/Mars Mission
10
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFC
Earth-Mars Trajectory Analysis Sensitivity StudyExploration Study 1 Follow-on
(Three week Quick Study preliminary results)
Melissa L. McGuire
Robert D. Falck
NASA Glenn Research Center
7820 / Systems Analysis Branch
February 28, 2003 (Updated March 3, 2002)
11
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCReport out of Quick Turnout Study
Trajectory Analysis Methods
Trajectory Sensitivity Study Analysis Methods
Point design case Data and Trajectory Plots
Sensitivity Study resultsIMLEO and Total trip time as a function of Mars/Earth orbital altitudes
Table of raw data for sensitivity study
Earth-Mars Trajectory Analysis Sensitivity Study
12
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCMission and System Assumptions
System AssumptionsPower: 6 MWSpecific Impulse (Isp): 4000 sec Thruster efficiency: 60%Tankage Fraction: 5%
Mission Assumptions Mass returned to Earth: 89 mtLaunch Date: 2026Stay time in Mars space: approx 90 days
Resulted in stay times at Mars in orbit from 37 to 77 days
Mission Total Trip time goal: 700 days
Limiting Orbit Assumptions (for sensitivity trade)Earth departure orbit altitude : LEO of 700 kmEarth return orbit altitude: vary between 30,000 - 90,000 kmMars parking orbit altitude: vary between LMO of 500 km and aerosynch
Earth-Mars Trajectory Analysis Sensitivity Study
13
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCTrajectory Analysis Methods
Varitop, JPL low thrust trajectory analysis code
Trajectories contain spiral escape at Earth, spiral capture/escape at Mars, spiral capture into Earth orbit upon return
Set the final mass at Earth return to 89 mt
Set launch date guess to generate a 2026 launch opportunity
Earth orbits modeled as circular
No constraints on heliocentric orbit proximity to Sun
No propellant allotted for Mars orbit operations (eccentricity, inclination, etc. corrections)
Four bookend point design cases used Mars stay times of 40 and 70 days for low and high Mars parking Orbit altitude cases respectively
These stay times allow for approximately 90 days in Mars vicinity.
More refined Mars stay time choices in sensitivity cases
Earth-Mars Trajectory Analysis Sensitivity Study
14
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCTrajectory Sensitivity Analysis Methodology
First: Ran a series of Mars parking orbit altitudes from 500 to 17,200 km
Second: For each Mars parking orbit, ran a series of Earth return orbits from 30,000 km to 90,000 km altitude
For Each trajectoryRefined guess for stay time in Mars orbit such that the sum of stay time plus spiral capture time and spiral escape time approximately 90 days
Start from a 700 km LEO departure orbit altitudeThe NEP vehicle flies the whole trajectory from LEO to Earth return capture
Total trajectory time includes the spiral from LEO to the high earth orbit altitude (I.e., crew delivery altitude) through Earth escape
Earth-Mars Trajectory Analysis Sensitivity Study
15
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCEarth-Mars 500/30,000 Trajectory Point Design
Point Design Assumptions: Earth Departure Orbit: 700 km altitudeEarth Return Orbit: 30,000 km altitudeMars Parking Orbit: 500 km altitudeStay Time in Mars Orbit: 40 daysTotal Trip time includes LEO to high Earth orbit spiral time
Point Design Result Highlights (see Table for further details)IMLEO: 303.7 mtTotal trip time (with Earth spirals): 744.8 daysEarth spiral out/in trip time: 110.7 / 9.6 daysEarth spiral out/in propellant cost: 44.5 / 3.9 mtMars spiral in/out trip time: 28.4 / 26.3 daysMars spiral in/out propellant cost: 11.4 / 10.6 mtTime in Mars Vicinity: 94.7 daysClosest approach of trajectory to Sun: 0.39 AU
Earth-Mars Trajectory Analysis Sensitivity Study
16
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCEarth-Mars 2026 (Earth Return 30000 km, Mars Parking
Orbit 500 km) Point Design Trajectory Plot
Earth
Mars
Sun
Escape EarthSpiral for 110.7 daysNovember 1, 2026Mass after spiral: 259.1 mt
Capture at Earth July 27, 2028Orbit altitude 30,000 kmSpiral for 9.6 days to captureMass after spiral: 89 mt
Begin Spiral at Earth return July 17, 2028Mass before spiral: 92.9 mt
Begin Spiral Capture at Mars June 27, 2027Mass before spiral: 183.5 mt
Finish capture at Mars July 25, 2027Spiral for 28.4 daysCapture into 500 km orbitMass after spiral: 172.1 mt
Stay time 40 days in Mars orbitBegin Spiral Escape of MarsSeptember 3, 2027
Escape MarsSpiral for 26.3 days September 30, 2027Mass after spiral: 161.5 mt
Close Approach to SunDistance ~ 0.39 AU
Start at 700 km Earth orbit altitudeJuly 13, 2026Initial Mass: 303.7 mt
Mercury
•Mission Assumptions: Earth Departure Orbit: 700 km altitude Earth Return Orbit: 30,000 km altitude Mars Parking Orbit: 500 km altitude Stay Time in Mars Orbit: 40 days•System Assumptions Power: 6 MW Specific Impulse (Isp): 4000 sec Thruster efficiency: 60% Tankage Fraction: 5%
Courtesy: Melissa McGuire/GRC, Rob Falck/GRC
Earth-Mars Trajectory Analysis Sensitivity Study
17
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCEarth-Mars 16700/90000 Trajectory Point Design
Point Design Assumptions: Earth Departure Orbit: 700 km altitudeEarth Return Orbit: 90,000 km altitudeMars Parking Orbit: 16,700 km altitudeStay Time in Mars Orbit: 70 daysTotal Trip time includes LEO to high Earth orbit spiral time
Point Design Result Highlights (see Table for further details)IMLEO: 271.6 mtTotal trip time (includes Earth spirals): 692.9 daysEarth spiral out/in trip time: 98.5 / 2.1 daysEarth spiral out/in propellant cost: 40 / 0.86 mtMars spiral in/out trip time: 6.23/ 6.06 daysMars spiral in/out propellant cost: 2.5 / 2.4 mtTime in Mars Vicinity: 82.3 daysClosest approach of trajectory to Sun: 0.398 AU
Earth-Mars Trajectory Analysis Sensitivity Study
18
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCEarth-Mars 2026 (90,000 km Earth return, 16,700 km Mars
Parking Orbit)Point Design Trajectory Plot
Start at 700 km Earth orbit altitudeJuly 31, 2026Initial Mass: 271.6 mt
Earth
Mars
Sun
Escape EarthSpiral for 98.5 daysNovember 7, 2026Mass after spiral: 232.0 mt
Capture at Earth June 23, 2028Orbit altitude 90,000 kmSpiral for 2.1 days to captureMass after spiral: 89 mt
Begin Spiral at Earth return July 21, 2028Mass before spiral: 89.6 mt
Begin Spiral Capture at MarsJune 20, 2027 Mass before spiral: 160.8 mt
Finish capture at MarsJuly 27, 2027 Spiral for 6.3 daysCapture into 16,700 km orbitMass after spiral: 158.3 mt
Stay time 70 days in Mars orbitBegin Spiral Escape of MarsSept. 5, 2027
Escape MarsSpiral for 6.1 daysSept. 11, 2027Mass after spiral: 155.9 mt
Close Approach to SunDistance ~ 0.39 AU
Mercury
•Mission Assumptions: Earth Departure Orbit: 700 km altitude Earth Return Orbit: 90,000 km altitude Mars Parking Orbit: 16,700 km altitude Stay Time in Mars Orbit: 70 days•System Assumptions Power: 6 MW Specific Impulse (Isp): 4000 sec Thruster efficiency: 60% Tankage Fraction: 5%
Courtesy: Melissa McGuire/GRC, Rob Falck/GRC
Earth-Mars Trajectory Analysis Sensitivity Study
19
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCEarth Mars 2026 Point Design Bookend Cases Data Table
Courtesy: Melissa McGuire/GRC, Rob Falck/GRC
Earth-Mars Trajectory Analysis Sensitivity Study
20
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCSensitivity Analysis Assumptions
Earth Departure Orbit: 700 km altitude
Earth Return Orbit: vary from 30,000 to 90,000 km altitude
Mars Parking Orbit: vary from 500 to 17,200 km altitude
Stay Time in Mars Orbit: calculated to sum time in Mars vicinity to approximately 90 days
Resulted in stay times at Mars in orbit from 37 to 77 days
Total Trip time includes spiral time from LEO to high Earth orbit
Earth-Mars Trajectory Analysis Sensitivity Study
21
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCIMLEO vs. Earth Return Orbit Altitude
270
275
280
285
290
295
300
305
30000 40000 50000 60000 70000 80000 90000
Earth Departure/Return Orbit Altitude (km)
IMLEO
(m
t)
17200km
10000km
5000km
500km
Mars Stay: 37.0 daysMars Spiral: 54.5 days
Mars Stay: 37.0 daysMars Spiral: 53.6 days
Mars Stay: 37.0 daysMars Spiral: 53.0 days
Mars Stay: 37.0 daysMars Spiral: 52.7 days
Mars Stay: 37.0 daysMars Spiral: 52.4 days
Mars Stay: 60.0 daysMars Spiral: 30.6 days
Mars Stay: 60.0 daysMars Spiral: 30.1 days
Mars Stay: 60.0 daysMars Spiral: 29.8 days Mars Stay: 60.0 days
Mars Spiral: 29.6 daysMars Stay: 37.0 daysMars Spiral: 29.4 days
Mars Stay: 70.0 daysMars Spiral: 20.4 days
Mars Stay: 70.0 daysMars Spiral: 20.0 days
Mars Stay: 70.0 daysMars Spiral: 19.8 days
Mars Stay: 70.0 daysMars Spiral: 19.7 days
Mars Stay: 70.0 daysMars Spiral: 19.6 days
Mars Stay: 77.0 daysMars Spiral: 13.0 days
Mars Stay: 77.0 daysMars Spiral: 12.8 days
Mars Stay: 77.0 daysMars Spiral: 12.6 days Mars Stay: 77.0 days
Mars Spiral: 12.5 days Mars Stay: 77.0 daysMars Spiral: 12.4 days
Mars Orbit Altitudes
Courtesy: Melissa McGuire/GRC, Rob Falck/GRC
Earth-Mars Trajectory Analysis Sensitivity Study
22
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCTotal and Crewed Mission Time
vs. Earth Return Orbit Radius
Courtesy: Melissa McGuire/GRC, Rob Falck/GRC
Earth-Mars Trajectory Analysis Sensitivity Study
23
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCLow Thrust NEP Trajectory Trade Space Raw Data
Courtesy: Melissa McGuire/GRCRob Falck/GRC
Earth-Mars Trajectory Analysis Sensitivity Study
24
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCObservations
Missions of 700 round trip are possible with limits on Earth and Mars orbit altitude choices
Total trip time does not equal total crew time
Note: The astronauts will ascend to the NEP vehicle once it’s in the high earth altitude via a crew taxi
Trade studies needed to evaluate choice of Mars parking orbit with respect to Ascent/Descent vehicle versus NEP vehicle performance
Note: Appendix D provides some preliminary data
Further analysis needed to evaluate proximity to Sun on return leg
Earth-Mars Trajectory Analysis Sensitivity Study
25
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFC
Study 2Sun-Earth L2 Libration Point (SE-L2) Mission
26
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCAssumptions
Satellite constellation deploy/maintenance missionAlso, dress rehearsal for Mars mission
Single vehicle - NEP Mars transfer vehicleNo rendezvous at SE-L2
Target => SE-L2
Use same vehicle specifications as last year study for Mars transfer vehicle Power = 6 Mw
Engine efficiency = 0.6
Isp = 4000 sec
No thrust vector turning constraints
Final mass target (back at Earth) = 89mt
MissionOpportunity independent - selectable stay time at SE-L2 (independent of Earth departure time)
Crew transfer altitude designed to keep crew out of trapped proton radiation belt
Sun-Earth Libration Point (L2) Mission
27
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCMission Overview
LEO (700 km)
Tra
ns
SE-L
2 F
light
CrewReturn
HEO30,000 –> 90,000 km
(Circular Orbits)
Launch of NEPTransfer Vehicle
Launch OfCrew Taxi
On-orbit Construction of Transfer Vehicle
Launch forCrew Pickup
Rendezvous/Dock Of Crew Taxi and Mars Transfer Vehicle
Crew Delivery Taxi(Possible Emergency Return Vehicle)
Tra
ns-E
arth
Flight
Mars Crew Transfer VehicleConstant ThrustPower = 6 MWEfficiency = 60%Isp = 4000 secMass Return to Earth = 89 mt
Mars Crew Transfer VehicleConstant ThrustPower = 6 MWEfficiency = 60%Isp = 4000 secMass Return to Earth = 89 mt
Sun-Earth L2 Libration Point (SE-L2)SE-L2 Operations
Courtesy: Jerry Condon / JSC/EG5
Sun-Earth Libration Point (L2) Mission
28
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCMission Overview
Spiral NEP ‘Mars’ transfer vehicle from LEO (700 km) to selected crew transfer orbit (flight crew not onboard)
Note: The Mars transfer vehicle is used for this mission to Sun-Earth L2 (SE-L2)In addition to meeting planned objectives, the SE-L2 mission could provide a proving ground for future Mars missions
Crew taxi launches from ground to Mars transfer vehicle (30,000 – 90,000 km)
Crewed mission begins with crew transferred to Mars transfer vehicle above the trapped proton radiation belt
Avoids crew spiral through proton radiation belt
Crew will, however, spiral through the larger trapped electron belt
Mars transfer vehicle spirals from crew transfer orbit to SE-L2
Variable stay time at L2
Mars transfer vehicle returns crew from SE-L2 to original crew transfer orbit at Earth (30,000 – 90,000 km) for crew pick-up with crew taxi
Sun-Earth Libration Point (L2) Mission
29
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCStudy Methodology
Trajectory tool used: CopernicusMulti-body, multi-spacecraft, continuous thrust trajectory tool in development at University of Texas – Center for Space Research
Mission - trajectories were solved backwards (from end of mission to beginning) in order to determine required IMLEO needed to conclude mission with an 89 mt mass
Mission segments:Return trip from SE-L2 to crew transfer altitude (30,000 – 90,000 km)
Outbound trip from 100,000 km to SE-L2
Spiral up from 700 km initial circular Earth parking orbit to 100,000 km circular orbit
Mass matching performed for the vehicle at 100,000 km altitude
Sun-Earth Libration Point (L2) Mission
30
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCIMLEO and Trip Time vs. Crew Altitude
Earth-Sun L2 Mission LEO Mass Requirements and Crew Transfer Times
120000
120500
121000
121500
122000
122500
123000
123500
124000
30000 40000 50000 60000 70000 80000 90000
Crew Transfer Altitude (km)
Init
ial
Mas
s at
700
km L
EO
(k
g)
30.0
35.0
40.0
45.0
50.0
55.0
60.0
65.0
70.0
Ro
un
dtr
ip C
rew
Tra
nsf
er T
ime
(day
s)
IMLEO
Crew Transfer Time
Power = 6000 kWIsp = 4000 sec
Efficiency = 0.60
Sun-Earth Libration Point (L2) Mission
31
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCTabular Trajectory Data
Crew Transfer Altitude km 30000 50000 70000 90000
IMLEO kg 123496 121775 120831 120254Spiral Time to Boarding Altitude days 31.0 35.0 37.3 38.8Outbound Crewed Transfer Time days 31.6 26.6 23.9 22.1Inbound Crewed Transfer Time days 28.5 24.5 22.3 20.9Total Crewed Transfer Time days 60.1 51.1 46.2 43.0
Sun-Earth Libration Point (L2) Mission
32
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCFuture Work
Complete RAPTOR mission setCompare and contrast results with VariTOP
Review Mars parking orbit parametric studyEvaluate sudden change in eccentricity at 38,000 km altitude range
33
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFC
Appendices
34
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFC
Appendix A
Mars Arrival Parking Orbit Analysis
Earth-Mars Round Trip Mission
Comparison of Elliptical vs. Circular Mars Parking Orbit Arrival
Kyle Brewer / JSC/EG5
March 3, 2003
35
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCPurpose
Provide a comparison of insertion into Circular vs. Elliptical orbits at Mars based on a state vector from a fully integrated roundtrip mission provided by JPL
Mars Arrival Parking Orbit Analysis
36
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCAssumptions
Same Vehicle specifications as previous study
The JPL mission is optimized for the following roundtrip mission:
Depart 30,000 km Earth orbit
Arrive/Stay Depart Aerosynchronous (17,048 km alt) orbit
Arrive 30,000 km Earth orbit
Initial state vector and mass taken from beginning of Mars approach burn (see next slide)
Given that the state and mass are not optimized for the variety of orbits analyzed, the resulting data should be considered for comparative purposes only.
Mars Arrival Parking Orbit Analysis
37
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCInitial State from JPL
Initial State taken from this point
Mars Arrival Parking Orbit Analysis
38
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCMethodology
Trajectory tool used: CopernicusMulti-body, multi-spacecraft, continuous thrust trajectory tool in development at University of Texas – Center for Space Research
Trajectories to circular orbits were computed by specifying the desired orbit radius and constraining the eccentricity to 0.0 and solving for minimum thrusting time
Optimum eccentricity orbits were determined by holding only the desired Semi-Major Axis constant and solving for minimum thrusting time to meet that SMA constraint
Mars Arrival Parking Orbit Analysis
39
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCProp Usage for Circular and Opt. Ecc Orbits
Propellent Requirement Comparison for Circular Orbits vs. Optimum Eccentricity Orbits
Prop usage shown is for final burn arc and spiral down to given SMA
16000
18000
20000
22000
24000
26000
28000
30000
32000
0 10000 20000 30000 40000 50000 60000 70000 80000 90000 100000
Orbit Semi-Major Axis - Altitude (km)
To
tal
Pro
p U
sag
e (k
g)
0
150
300
450
600
750
900
1050
1200
Pro
p U
sag
e D
iffe
ren
ce (
kg)
Total Propellant - Circular Orbits
Total Propellant - Ellipse orbits
Prop. Usage Difference
Power = 6000 KwIsp = 4000sEff = 0.60Initial state in heliocentric space provided by JPL for 2026 mission oportunity. The JPL data was optimized for a Mars orbit altitude of 17048 km.
Mars Arrival Parking Orbit Analysis
40
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCOptimum Eccentricity and Ha/Hp
Optimum Orbit Eccentricity vs. Semi-Major Axisand Corresponding Apoapse and Periapse Altitudes
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
0 10000 20000 30000 40000 50000 60000 70000 80000 90000 100000
Semi-Major Axis - Altitude (km)
Orb
it E
ccen
tric
ity
0
20000
40000
60000
80000
100000
120000
140000
160000
180000
200000
Ha/
Hp
Alt
itu
de
(km
)
Optimal Eccentricity
Periapse Altitude
Apoapse Altitude
Power = 6000 KwIsp = 4000sEff = 0.60Initial state in heliocentric space provided by JPL for 2026 mission oportunity. The JPL data was optimized for a Mars orbit altitude of 17048 km.
Mars Arrival Parking Orbit Analysis
41
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCObservations
A large jump in optimum eccentricity is seen around the target SMA of 39,000 km
This is the target about which the powered trajectory makes it’s first complete pass around the planet
SMA = 39600 kmSMA = 42000 km SMA = 30000 km
(SMA shown is an altitude)
Mars Arrival Parking Orbit Analysis
42
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCTabular Trajectory Data
Mars Orbit Altitude km 500 2000 5000 10000 20000 30000Eccentricity - 0.0008 0.0002 0.0003 0.0013 0.0049 0.0017Final Mass kg 164865 166975 169369 171410 173314 174316Mars Approach and Spiral Time days 78.2 73.0 67.8 62.0 57.3 54.9Propellant kg 31643 29533 27139 25098 23194 22192
Eccentricity - 0.0438 0.0452 0.1434 0.2156 0.4158 0.4483Mars Approach and Spiral Time days 78.2 73.0 67.1 62.0 57.2 54.5Final Mass kg 164869 166977 169380 171434 173379 174450Propellant kg 31639 29531 27128 25074 23129 22058Circle cost kg 4 2 11 24 65 134
Circ
ular
O
rbit
Opt
imal
E
ccen
tric
ity
Mars Orbit Altitude km 40000 50000 60000 70000 80000 90000Eccentricity - 0.0001 0.0001 0.0002 0.0008 0.0001 0.0009Final Mass kg 174875 175389 175778 176061 176245 176041.73Mars Approach and Spiral Time days 53.5 52.2 51.2 50.5 50.1 50.6Propellant kg 21633 21119 20730 20447 20263 20466
Eccentricity - 0.7044 0.5652 0.7211 0.7991 0.8463 0.8731Mars Approach and Spiral Time days 53.2 51.7 50.3 49.3 48.7 48.2Final Mass kg 174984 175609 176173 176552 176818 177013Propellant kg 21524 20899 20335 19956 19690 19495Circle cost kg 109 220 395 491 573 971
Circ
ular
O
rbit
Opt
imal
E
ccen
tric
ity
Mars Arrival Parking Orbit Analysis
43
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFC
Appendix B
Mars Parking Orbit Lifetime
Carlos Westhelle / EG5
March 3, 2003
44
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCOrbit Lifetime at Mars - Introduction
Current Mars ascent vehicle targeted to 200 km temporary parking orbit
Off-nominal situations (e.g. failure of subsequent engine firing) may require extended stay in this orbit
This lifetime study takes a quick look at the parking orbit lifetime as a function of altitude range (130-200 km) for a range of possible vehicle ballistic numbers (150-1500 kg/m2)
Mars Parking Orbit Lifetime
45
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCOrbit Lifetime at Mars - Methodology
STK-Astrogator was used to propagate the vehicle with a Mars GRAM atmosphere modelOrbit was propagated until it decayed to a 125 km altitude (Mars entry interface) up to a maximum time cutoff of 365 daysFor orbit propagations reaching this 365 day limit, the resulting orbit altitudes are noted on the plot on the next slide
Mars Parking Orbit Lifetime
46
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFC
Orbit Lifetime at Mars
0.0
50.0
100.0
150.0
200.0
250.0
300.0
350.0
400.0
120 130 140 150 160 170 180 190 200 210 220
Initial Orbit Altitude [km]
BN = 150 kg/m^2 BN = 324 kg/m^2 BN = 600 kg/m^2 BN = 900 kg/m^2 BN = 1500 kg/m^2
Mars AscentParking Orbit Target
Orbit Lifetime at Mars
365+ Day Propagation Initial and Final Altitudes
BN = 150 kg/m2
Init. Orb. = 200 km at 1 yr = 161.9 kmInit. Orb. = 210 km at 1 yr = 199.1 km
BN = 324 kg/m2
Init. Orb. = 190 km at 1 yr = 164.6 kmInit. Orb. = 200 km at 1 yr = 192.3 km
BN = 600 kg/m2
Init. Orb. = 180 km at 1 yr = 150.8 kmInit. Orb. = 190 km at 1 yr = 181.5 km
BN = 900 kg/m2
Init. Orb. = 175 km at 1 yr = 150.3 kmInit. Orb. = 180 km at 1 yr = 168.2 km
BN = 1500 kg/m2
Init. Orb. = 170 km at 1 yr = 152.2 km
Candidate Descent/Ascent Vehicle Design
-Propagation limited to 365 days-Orbit is considered decayed at 125.0 km altitude.
-CR (coefficient of reflectivity) assumed to
be 0.0 (study shows that CR = 2.0
doesn't change results)
Courtesy: Carlos Westhelle / JSC-EG5
Mars Parking Orbit Lifetime
47
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCOrbit Lifetime at Mars – Observations
A 200 km circular Mars parking orbit provides sufficient time (> 365 days) for an extended stay for a worst-case ballistic number (i.e., 150 kg/m2)
Note: For this case the vehicle will decay to Mars entry interface (125 km) in approximately another 40 days
Mars Parking Orbit Lifetime
48
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFC
Appendix C
Integrated Reference Mission – JPL
Greg Whiffen/JPL
February 23, 2003
49
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCMission Design and Results
Single end to end multi-body integrated trajectory using MysticTrajectory characteristics:
Start escape spiral at 30,000 km altitude Earth orbit, 224 metric tons, September 8, 2026Escape Earth, 209.9 metric tons, October 24, 2026Capture Mars-begin spiral, 178.1 metric tons,July 18, 2027Areosynchronous orbit 40 days, 173.3 metric tons, July 30 through Sept 8, 2027Mars escape, 171.4 metric tons, September 19, 2027Earth capture, 104.1 metric tons, July 10, 2028Earth 30,000 km altitude orbit, 97.6 metric tons, July 26, 2028
Vehicle characteristics: Power = 6 MW, Efficiency = 60%, Isp = 4000 seconds
Trajectory results:Total flight time is 687 days from 30,000 km altitude Earth orbit to a return 30,000 km altitude Earth orbitTime spent in low mars orbit is 40 days. Dry mass with tankage is 97.567 metric tonsTotal propellant used is 126.433 metric tons5% tankage is 6.322 metric tonsNet Mass without tankage 91.245 metric tons
Courtesy: Greg Whiffen/JPL
51
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFC
Courtesy: Greg Whiffen/JPL
52
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFC
Courtesy: Greg Whiffen/JPL
53
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFC
Courtesy: Greg Whiffen/JPL
54
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFC
Courtesy: Greg Whiffen/JPL
55
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFC
Courtesy: Greg Whiffen / JPL
56
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFC
Appendix D
Effects of Parking Orbit Geometry on Mars Lander Mass
Dave Lee JSC/EG5
March 3, 2003
57
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCEffects of Mars Parking Orbit Geometry on Lander Mass
Comparison of lander mass trends for circular vs. elliptical orbits
Payload mass cases based on:Previous Dual Lander StudyJSC/EX/Jim Geffre 6 crew/30 day caseLight descent payload case for illustration
Delivery method not consideredDelivery method would amplify mass trendsNo periapse raise after aerobrake budgetedHigh ellipse more suited to aerobrake delivery
Effects of Mars Parking Orbit Geometry on Mars Lander Mass
58
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCOrbital Maneuvers
1
2
3
4
5
Drop periapse for aerobraking
Aerobraking
Circularize in 300 X 300 km
Deorbit
Entry, Descent, and Landing
2
3
Raise orbit to PO periapse
Ascent to200 X 200 km
Raise orbit to PO apoapse
1
Descent Ascent
ParkingOrbit
ParkingOrbit
Effects of Mars Parking Orbit Geometry on Mars Lander Mass
59
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCDual Lander Case
Masses:Descent Only Payload = 15314 kgAscent Payload (w/ crew) = 2624 kg6 Crew (93 kg each) = 558 kg totalAeroshell mass 10% of total vehicle mass
Delta-V’s:Terminal descent = 632 m/sAscent to 200 km circ = 3900 m/sRendezvous = 45 m/s
Single stage and two stage ascent modeled (same delta-V)Stage Mass fractions calculated per historical model
except terminal descent stage (Mass Fraction = 0.58)
Specific Impulse for all stages 379 s
Aeroshell
Ascent Stage
Circ/Deorbit Stage
Descent Payload
Descent Stage
Ascent Payload
Descent/Ascent Stack
Figure intended to show payloads and staging order only.
No relative scale should be inferred.Stage location and orientation should not
be inferred.
Effects of Mars Parking Orbit Geometry on Mars Lander Mass
60
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCLander Mass vs. Mars Parking Orbit Semi-Major Axis
400 km periapse
Circular Orbits
10000 km periapse
2000 km periapse
20000 km periapse
5000 km periapse
40000
50000
60000
70000
80000
90000
100000
110000
0 5000 10000 15000 20000 25000 30000 35000
Mars Parking Orbit Semi-Major Axis (km)
Ve
hic
le M
as
s (
kg
)
Dual Lander:Single Stage Ascent
34%
Effects of Mars Parking Orbit Geometry on Mars Lander Mass
61
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCLander Mass vs. Mars Parking Orbit Semi-Major Axis
400 km periapse
Circular Orbits
10000 km periapse
2000 km periapse
20000 km periapse
5000 km periapse
40000
50000
60000
70000
80000
90000
100000
110000
0 5000 10000 15000 20000 25000 30000 35000
Mars Parking Orbit Semi-Major Axis (km)
Ve
hic
le M
as
s (
kg
)
28%
Dual Lander:Two Stage Ascent
Effects of Mars Parking Orbit Geometry on Mars Lander Mass
62
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFC6 crew/30 day case* (staging is different)
Masses:Descent Only Payload = 17266.8 kgAscent Payload (w/ crew) = 5345.5 kg6 Crew (82 kg each) = 492 kg totalAeroshell mass 14% of total vehicle mass
Delta-V’s:Terminal descent = 632 m/sAscent to 200 km circ = 3931 m/sRendezvous = 45 m/s
Single stage and two stage ascent modeled (same delta-V)Stage Mass fractions calculated per historical model
except terminal descent stage (Mass Fraction = 0.58)
Specific Impulse for all stages 379 s
Aeroshell
Ascent Stage
Circ/Deorbit Stage
Descent Payload
Descent Stage
Ascent Payload
Descent/Ascent Stack
Figure intended to show payloads and staging order only.
No relative scale should be inferred.Stage location and orientation should not
be inferred.*Based on JSC/EX/Jim Geffre design
Effects of Mars Parking Orbit Geometry on Mars Lander Mass
63
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCLander Mass vs. Mars Parking Orbit Semi-Major Axis
400 km periapse
Circular Orbits
10000 km periapse
2000 km periapse
20000 km periapse
5000 km periapse
70000
80000
90000
100000
110000
120000
130000
140000
150000
160000
170000
0 5000 10000 15000 20000 25000 30000 35000
Mars Parking Orbit Semi-Major Axis (km)
Ve
hic
le M
as
s (
kg
)
Geffre 6 crew/30 day:Single Stage Ascent
35%
Courtesy: Dave Lee/JSC
Effects of Mars Parking Orbit Geometry on Mars Lander Mass
64
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCLander Mass vs. Mars Parking Orbit Semi-Major Axis
400 km periapse
Circular Orbits
10000 km periapse
2000 km periapse
20000 km periapse
5000 km periapse
70000
80000
90000
100000
110000
120000
130000
140000
150000
160000
170000
0 5000 10000 15000 20000 25000 30000 35000
Mars Parking Orbit Semi-Major Axis (km)
Ve
hic
le M
as
s (
kg
)
Geffre 6 crew/30 day:Two Stage Ascent
30%
Courtesy: Dave Lee/JSC
Effects of Mars Parking Orbit Geometry on Mars Lander Mass
65
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCLight Descent Payload Case
Masses:Descent Only Payload = 500 kgAscent Payload (w/ crew) = 5345.5 kg6 Crew (82 kg each) = 492 kg totalAeroshell mass 10% of total vehicle mass
Delta-V’s:Terminal descent = 632 m/sAscent to 200 km circ = 3931 m/sRendezvous = 45 m/s
Single stage and two stage ascent modeled (same delta-V)Stage Mass fractions calculated per historical model
except terminal descent stage (Mass Fraction = 0.58)
Specific Impulse for all stages 379 s
Aeroshell
Ascent Stage
Circ/Deorbit Stage
Descent Payload
Descent Stage
Ascent Payload
Descent/Ascent Stack
Figure intended to show payloads and staging order only.
No relative scale should be inferred.Stage location and orientation should not
be inferred.
Effects of Mars Parking Orbit Geometry on Mars Lander Mass
66
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCLander Mass vs. Mars Parking Orbit Semi-Major Axis
400 km periapse
Circular Orbits10000 km periapse
2000 km periapse
20000 km periapse
5000 km periapse
30000
40000
50000
60000
70000
80000
90000
100000
110000
120000
130000
0 5000 10000 15000 20000 25000 30000 35000
Mars Parking Orbit Semi-Major Axis (km)
Ve
hic
le M
as
s (
kg
)
Light Descent:Single Stage Ascent
37%
Courtesy: Dave Lee/JSC
Effects of Mars Parking Orbit Geometry on Mars Lander Mass
67
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCLander Mass vs. Mars Parking Orbit Semi-Major Axis
400 km periapse
Circular Orbits
10000 km periapse
2000 km periapse
20000 km periapse
5000 km periapse
30000
40000
50000
60000
70000
80000
90000
100000
110000
120000
130000
0 5000 10000 15000 20000 25000 30000 35000
Mars Parking Orbit Semi-Major Axis (km)
Ve
hic
le M
as
s (
kg
)
Light Descent:Two Stage Ascent
33%
Courtesy: Dave Lee/JSC
Effects of Mars Parking Orbit Geometry on Mars Lander Mass
68
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCConclusions
Elliptical orbits offer major mass advantages for large SMAs as compared to circular orbits
Up to 37% lander mass savings for some large SMA casesMost pronounced for Single Stage Ascent (but still significant for Two Stage)If aerobraking delivery were desired, elliptical orbits would offer additional mass advantage
Two stage ascent offers major mass advantages for high orbitsOver 25% lander mass difference for some higher orbit casesLess than 10% for lowest orbitsMost pronounced for Light Descent case and Circular orbits
If we consider the mass impact of delivering the lander/ascent vehicle to the Mars parking orbit, these mass trends would be amplified
Effects of Mars Parking Orbit Geometry on Mars Lander Mass
69
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFC
Appendix E
Van Allen Radiation Belt DataTrapped Proton Belt Data
Jerry Condon / JSC/EG5
70
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCTrapped Proton Radiation Belt – Dosage vs. Altitude
Dose Rate for Circular Orbits
0
50000
100000
150000
200000
250000
300000
350000
400000
450000
500000
0.0 2000.0 4000.0 6000.0 8000.0 10000.0 12000.0 14000.0 16000.0
Circular Orbit Altitude (km)
Do
se
(re
m/y
r)
(Tra
pp
ed P
roto
ns
On
ly)
Solar Minimum0.1" Aluminum Shielding28.5 deg. inclination240 hours in each orbit
Van Allen Radiation Belt (Trapped Proton) Data
Courtesy: Jerry Condon/JSC
71
Low Thrust Trajectory Team
GRC, JPL, JSC, MSFCTrapped Proton Radiation Belt - Effect of Orbit Orientation
Radiation Dose for a 400x35790 km EllipseVarying Angles Between Perigee and the Ascending Node
0
10000
20000
30000
40000
50000
60000
-180 -135 -90 -45 0 45 90 135 180
Perigee Angle from Ascending Node (deg)
Do
se
(re
m/y
r)
(Tra
pp
ed
Pro
ton
s O
nly
)
51.6 deg. incl.
28.5 deg. incl.
Solar Minimum0.1" Aluminum Shielding240 hours in each orbit407x35790 km ellipse
Van Allen Radiation Belt (Trapped Proton) Data
Courtesy: Jerry Condon/JSC