Orpheus AIAA Pluto Orbiter Design Competition
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Machine Learning Regression for Estimating Characteristics of Low-Thrust Transfers
MACHINE LEARNING REGRESSION FOR ESTIMATING CHARACTERISTICS OF LOW-THRUST TRANSFERS A Thesis Presented to The Academic Faculty By Gene L. Chen In Partial Fulfillment of the Requirements for the Degree Master of Science in the School of Aerospace Engineering Georgia Institute of Technology May 2019 Copyright c Gene L. Chen 2019 MACHINE LEARNING REGRESSION FOR ESTIMATING CHARACTERISTICS OF LOW-THRUST TRANSFERS Approved by: Dr. Dimitri Mavris, Advisor Guggenheim School of Aerospace Engineering Georgia Institute of Technology Dr. Alicia Sudol Guggenheim School of Aerospace Engineering Georgia Institute of Technology Dr. Michael Steffens Guggenheim School of Aerospace Engineering Georgia Institute of Technology Date Approved: April 15, 2019 To my parents, thanks for the support. ACKNOWLEDGEMENTS Firstly, I would like to thank Dr. Dimitri Mavris for giving me the opportunity to pursue a Master’s degree at the Aerospace Systems Design Laboratory. It has been quite the experience. Also, many thanks to my committee members — Dr. Alicia Sudol and Dr. Michael Steffens — for taking the time to review my work and give suggestions on how to improve - it means a lot to me. Additionally, thanks to Dr. Patel and Dr. Antony for helping me understand their work in trajectory optimization. iv TABLE OF CONTENTS Acknowledgments . iv List of Tables . vii List of Figures . viii Chapter 1: Introduction and Motivation . 1 1.1 Thesis Overview . 4 Chapter 2: Background . 5 Chapter 3: Approach . 17 3.1 Scenario Definition . 17 3.2 Spacecraft Dynamics . 18 3.3 Choice Between Direct and Indirect Method . 19 3.3.1 Chebyshev polynomial method . 20 3.3.2 Sims-Flanagan method . -
Astrodynamics
Politecnico di Torino SEEDS SpacE Exploration and Development Systems Astrodynamics II Edition 2006 - 07 - Ver. 2.0.1 Author: Guido Colasurdo Dipartimento di Energetica Teacher: Giulio Avanzini Dipartimento di Ingegneria Aeronautica e Spaziale e-mail: [email protected] Contents 1 Two–Body Orbital Mechanics 1 1.1 BirthofAstrodynamics: Kepler’sLaws. ......... 1 1.2 Newton’sLawsofMotion ............................ ... 2 1.3 Newton’s Law of Universal Gravitation . ......... 3 1.4 The n–BodyProblem ................................. 4 1.5 Equation of Motion in the Two-Body Problem . ....... 5 1.6 PotentialEnergy ................................. ... 6 1.7 ConstantsoftheMotion . .. .. .. .. .. .. .. .. .... 7 1.8 TrajectoryEquation .............................. .... 8 1.9 ConicSections ................................... 8 1.10 Relating Energy and Semi-major Axis . ........ 9 2 Two-Dimensional Analysis of Motion 11 2.1 ReferenceFrames................................. 11 2.2 Velocity and acceleration components . ......... 12 2.3 First-Order Scalar Equations of Motion . ......... 12 2.4 PerifocalReferenceFrame . ...... 13 2.5 FlightPathAngle ................................. 14 2.6 EllipticalOrbits................................ ..... 15 2.6.1 Geometry of an Elliptical Orbit . ..... 15 2.6.2 Period of an Elliptical Orbit . ..... 16 2.7 Time–of–Flight on the Elliptical Orbit . .......... 16 2.8 Extensiontohyperbolaandparabola. ........ 18 2.9 Circular and Escape Velocity, Hyperbolic Excess Speed . .............. 18 2.10 CosmicVelocities -
Reduction of Saturn Orbit Insertion Impulse Using Deep-Space Low Thrust
Reduction of Saturn Orbit Insertion Impulse using Deep-Space Low Thrust Elena Fantino ∗† Khalifa University of Science and Technology, Abu Dhabi, United Arab Emirates. Roberto Flores‡ International Center for Numerical Methods in Engineering, 08034 Barcelona, Spain. Jesús Peláez§ and Virginia Raposo-Pulido¶ Technical University of Madrid, 28040 Madrid, Spain. Orbit insertion at Saturn requires a large impulsive manoeuver due to the velocity difference between the spacecraft and the planet. This paper presents a strategy to reduce dramatically the hyperbolic excess speed at Saturn by means of deep-space electric propulsion. The inter- planetary trajectory includes a gravity assist at Jupiter, combined with low-thrust maneuvers. The thrust arc from Earth to Jupiter lowers the launch energy requirement, while an ad hoc steering law applied after the Jupiter flyby reduces the hyperbolic excess speed upon arrival at Saturn. This lowers the orbit insertion impulse to the point where capture is possible even with a gravity assist with Titan. The control-law algorithm, the benefits to the mass budget and the main technological aspects are presented and discussed. The simple steering law is compared with a trajectory optimizer to evaluate the quality of the results and possibilities for improvement. I. Introduction he giant planets have a special place in our quest for learning about the origins of our planetary system and Tour search for life, and robotic missions are essential tools for this scientific goal. Missions to the outer planets arXiv:2001.04357v1 [astro-ph.EP] 8 Jan 2020 have been prioritized by NASA and ESA, and this has resulted in important space projects for the exploration of the Jupiter system (NASA’s Europa Clipper [1] and ESA’s Jupiter Icy Moons Explorer [2]), and studies are underway to launch a follow-up of Cassini/Huygens called Titan Saturn System Mission (TSSM) [3], a joint ESA-NASA project. -
Electric Propulsion System Scaling for Asteroid Capture-And-Return Missions
Electric propulsion system scaling for asteroid capture-and-return missions Justin M. Little⇤ and Edgar Y. Choueiri† Electric Propulsion and Plasma Dynamics Laboratory, Princeton University, Princeton, NJ, 08544 The requirements for an electric propulsion system needed to maximize the return mass of asteroid capture-and-return (ACR) missions are investigated in detail. An analytical model is presented for the mission time and mass balance of an ACR mission based on the propellant requirements of each mission phase. Edelbaum’s approximation is used for the Earth-escape phase. The asteroid rendezvous and return phases of the mission are modeled as a low-thrust optimal control problem with a lunar assist. The numerical solution to this problem is used to derive scaling laws for the propellant requirements based on the maneuver time, asteroid orbit, and propulsion system parameters. Constraining the rendezvous and return phases by the synodic period of the target asteroid, a semi- empirical equation is obtained for the optimum specific impulse and power supply. It was found analytically that the optimum power supply is one such that the mass of the propulsion system and power supply are approximately equal to the total mass of propellant used during the entire mission. Finally, it is shown that ACR missions, in general, are optimized using propulsion systems capable of processing 100 kW – 1 MW of power with specific impulses in the range 5,000 – 10,000 s, and have the potential to return asteroids on the order of 103 104 tons. − Nomenclature -
Orbital Fueling Architectures Leveraging Commercial Launch Vehicles for More Affordable Human Exploration
ORBITAL FUELING ARCHITECTURES LEVERAGING COMMERCIAL LAUNCH VEHICLES FOR MORE AFFORDABLE HUMAN EXPLORATION by DANIEL J TIFFIN Submitted in partial fulfillment of the requirements for the degree of: Master of Science Department of Mechanical and Aerospace Engineering CASE WESTERN RESERVE UNIVERSITY January, 2020 CASE WESTERN RESERVE UNIVERSITY SCHOOL OF GRADUATE STUDIES We hereby approve the thesis of DANIEL JOSEPH TIFFIN Candidate for the degree of Master of Science*. Committee Chair Paul Barnhart, PhD Committee Member Sunniva Collins, PhD Committee Member Yasuhiro Kamotani, PhD Date of Defense 21 November, 2019 *We also certify that written approval has been obtained for any proprietary material contained therein. 2 Table of Contents List of Tables................................................................................................................... 5 List of Figures ................................................................................................................. 6 List of Abbreviations ....................................................................................................... 8 1. Introduction and Background.................................................................................. 14 1.1 Human Exploration Campaigns ....................................................................... 21 1.1.1. Previous Mars Architectures ..................................................................... 21 1.1.2. Latest Mars Architecture ......................................................................... -
Solar Orbiter Assessment Study and Model Payload
Solar Orbiter assessment study and model payload N.Rando(1), L.Gerlach(2), G.Janin(4), B.Johlander(1), A.Jeanes(1), A.Lyngvi(1), R.Marsden(3), A.Owens(1), U.Telljohann(1), D.Lumb(1) and T.Peacock(1). (1) Science Payload & Advanced Concepts Office, (2) Electrical Engineering Department, (3) Research and Scientific Support Department, European Space Agency, ESTEC, Postbus 299, NL-2200AG, Noordwijk, The Netherlands (4) Mission Analysis Office, European Space Agency, ESOC, Darmstadt, Germany ABSTRACT The Solar Orbiter mission is presently in assessment phase by the Science Payload and Advanced Concepts Office of the European Space Agency. The mission is confirmed in the Cosmic Vision programme, with the objective of a launch in October 2013 and no later than May 2015. The Solar Orbiter mission incorporates both a near-Sun (~0.22 AU) and a high-latitude (~ 35 deg) phase, posing new challenges in terms of protection from the intense solar radiation and related spacecraft thermal control, to remain compatible with the programmatic constraints of a medium class mission. This paper provides an overview of the assessment study activities, with specific emphasis on the definition of the model payload and its accommodation in the spacecraft. The main results of the industrial activities conducted with Alcatel Space and EADS-Astrium are summarized. Keywords: Solar physics, space weather, instrumentation, mission assessment, Solar Orbiter 1. INTRODUCTION The Solar Orbiter mission was first discussed at the Tenerife “Crossroads” workshop in 1998, in the framework of the ESA Solar Physics Planning Group. The mission was submitted to ESA in 2000 and then selected by ESA’s Science Programme Committee in October 2000 to be implemented as a flexi-mission, with a launch envisaged in the 2008- 2013 timeframe (after the BepiColombo mission to Mercury) [1]. -
A Free Spacecraft Simulation Tool
Orbiter: AFreeSpacecraftSimulationTool MartinSchweiger DepartmentofComputerScience UniversityCollegeLondon www.orbitersim.com 2nd ESAWorkshoponAstrodynamics ToolsandTechniques ESTEC,Noordwijk 13-15September2004 Contents • Overview • Scope • Limitations • SomeOrbiterfeatures: • Timepropagation • Gravitycalculation • Rigid-bodymodelandsuperstructures • OrbiterApplicationProgrammingInterface: • Concept • Orbiterinstrumentation • TheVESSELinterfaceclass • Newfeatures: • Air-breatingengines:scramjetdesign • Virtualcockpits • Newvisualeffects • Orbiterasateachingtool • Summaryandfutureplans • Demonstration Overview · Orbiterisareal-timespaceflightsimulationforWindowsPC platforms. · Modellingofatmosphericflight(launchandreentry), suborbital,orbitalandinterplanetarymissions(rendezvous, docking,transfer,swing-byetc.) · Newtonianmechanics,rigidbodymodelofrotation,basic atmosphericflightmodel. · Planetpositionsfrompublicperturbationsolutions.Time integrationofstatevectorsorosculatingelements. · Developedsince2000asaneducationalandrecreational applicationfororbitalmechanicssimulation. · WritteninC++,usingDirectXfor3-Drendering.Public programminginterfacefordevelopmentofexternalmodule plugins. · WithanincreasinglyversatileAPI,developmentfocusis beginningtoshiftfromtheOrbitercoreto3rd partyaddons. Scope · Launchsequencefromsurfacetoorbitalinsertion(including atmosphericeffects:drag,pressure-dependentengineISP...) · Orbitalmanoeuvres(alignmentoforbitalplane,orbit-to-orbit transfers,rendezvous) · Vessel-to-vesselapproachanddocking.Buildingof superstructuresfromvesselmodules(includingsimplerules -
Method for Rapid Interplanetary Trajectory Analysis Using Δv Maps with Flyby Options
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by DSpace@MIT METHOD FOR RAPID INTERPLANETARY TRAJECTORY ANALYSIS USING ΔV MAPS WITH FLYBY OPTIONS TAKUTO ISHIMATSU*, JEFFREY HOFFMAN†, AND OLIVIER DE WECK‡ Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139, USA. Email: [email protected]*, [email protected]†, [email protected]‡ This paper develops a convenient tool which is capable of calculating ballistic interplanetary trajectories with planetary flyby options to create exhaustive ΔV contour plots for both direct trajectories without flybys and flyby trajectories in a single chart. The contours of ΔV for a range of departure dates (x-axis) and times of flight (y-axis) serve as a “visual calendar” of launch windows, which are useful for the creation of a long-term transportation schedule for mission planning purposes. For planetary flybys, a simple powered flyby maneuver with a reasonably small velocity impulse at periapsis is allowed to expand the flyby mission windows. The procedure of creating a ΔV contour plot for direct trajectories is a straightforward full-factorial computation with two input variables of departure and arrival dates solving Lambert’s problem for each combination. For flyby trajectories, a “pseudo full-factorial” computation is conducted by decomposing the problem into two separate full-factorial computations. Mars missions including Venus flyby opportunities are used to illustrate the application of this model for the 2020-2040 time frame. The “competitiveness” of launch windows is defined and determined for each launch opportunity. Keywords: Interplanetary trajectory, C3, delta-V, pork-chop plot, launch window, Mars, Venus flyby 1. -
Determination of Optimal Earth-Mars Trajectories to Target the Moons Of
The Pennsylvania State University The Graduate School Department of Aerospace Engineering DETERMINATION OF OPTIMAL EARTH-MARS TRAJECTORIES TO TARGET THE MOONS OF MARS A Thesis in Aerospace Engineering by Davide Conte 2014 Davide Conte Submitted in Partial Fulfillment of the Requirements for the Degree of Master of Science May 2014 ii The thesis of Davide Conte was reviewed and approved* by the following: David B. Spencer Professor of Aerospace Engineering Thesis Advisor Robert G. Melton Professor of Aerospace Engineering Director of Undergraduate Studies George A. Lesieutre Professor of Aerospace Engineering Head of the Department of Aerospace Engineering *Signatures are on file in the Graduate School iii ABSTRACT The focus of this thesis is to analyze interplanetary transfer maneuvers from Earth to Mars in order to target the Martian moons, Phobos and Deimos. Such analysis is done by solving Lambert’s Problem and investigating the necessary targeting upon Mars arrival. Additionally, the orbital parameters of the arrival trajectory as well as the relative required ΔVs and times of flights were determined in order to define the optimal departure and arrival windows for a given range of date. The first step in solving Lambert’s Problem consists in finding the positions and velocities of the departure (Earth) and arrival (Mars) planets for a given range of dates. Then, by solving Lambert’s problem for various combinations of departure and arrival dates, porkchop plots can be created and examined. Some of the key parameters that are plotted on porkchop plots and used to investigate possible transfer orbits are the departure characteristic energy, C3, and the arrival v∞. -
Building and Maintaining the International Space Station (ISS)
/ Building and maintaining the International Space Station (ISS) is a very complex task. An international fleet of space vehicles launches ISS components; rotates crews; provides logistical support; and replenishes propellant, items for science experi- ments, and other necessary supplies and equipment. The Space Shuttle must be used to deliver most ISS modules and major components. All of these important deliveries sustain a constant supply line that is crucial to the development and maintenance of the International Space Station. The fleet is also responsible for returning experiment results to Earth and for removing trash and waste from the ISS. Currently, transport vehicles are launched from two sites on transportation logistics Earth. In the future, the number of launch sites will increase to four or more. Future plans also include new commercial trans- ports that will take over the role of U.S. ISS logistical support. INTERNATIONAL SPACE STATION GUIDE TRANSPORTATION/LOGISTICS 39 LAUNCH VEHICLES Soyuz Proton H-II Ariane Shuttle Roscosmos JAXA ESA NASA Russia Japan Europe United States Russia Japan EuRopE u.s. soyuz sL-4 proton sL-12 H-ii ariane 5 space shuttle First launch 1957 1965 1996 1996 1981 1963 (Soyuz variant) Launch site(s) Baikonur Baikonur Tanegashima Guiana Kennedy Space Center Cosmodrome Cosmodrome Space Center Space Center Launch performance 7,150 kg 20,000 kg 16,500 kg 18,000 kg 18,600 kg payload capacity (15,750 lb) (44,000 lb) (36,400 lb) (39,700 lb) (41,000 lb) 105,000 kg (230,000 lb), orbiter only Return performance -
Orbiter Processing Facility
National Aeronautics and Space Administration Space Shuttle: Orbiter Processing From Landing To Launch he work of preparing a space shuttle for the same facilities. Inside is a description of an flight takes place primarily at the Launch orbiter processing flow; in this case, Discovery. Complex 39 Area. TThe process actually begins at the end of each acts Shuttle Landing Facility flight, with a landing at the center or, after landing At the end of its mission, the Space Shuttle f at an alternate site, the return of the orbiter atop a Discovery lands at the Shuttle Landing Facility on shuttle carrier aircraft. Kennedy’s Shuttle Landing one of two runway headings – Runway 15 extends Facility is the primary landing site. from the northwest to the southeast, and Runway There are now three orbiters in the shuttle 33 extends from the southeast to the northwest fleet: Discovery, Atlantis and Endeavour. Chal- – based on wind currents. lenger was destroyed in an accident in January After touchdown and wheelstop, the orbiter 1986. Columbia was lost during approach to land- convoy is deployed to the runway. The convoy ing in February 2003. consists of about 25 specially designed vehicles or Each orbiter is processed independently using units and a team of about 150 trained personnel, NASA some of whom assist the crew in disembarking from the orbiter. the orbiter and a “white room” is mated to the orbiter hatch. The The others quickly begin the processes necessary to “safe” the hatch is opened and a physician performs a brief preliminary orbiter and prepare it for towing to the Orbiter Processing Fa- medical examination of the crew members before they leave the cility. -
Astrodynamics (AERO0024)
Astrodynamics (AERO0024) The twobody problem Lamberto Dell'Elce Space Structures & Systems Lab (S3L)0 Outline The twobody problem µ rÜ = – r Equations of motion r 3 Resulting orbits 1 Outline The twobody problem µ rÜ = – r Equations of motion r 3 Resulting orbits 2 What is the twobody problem (or Kepler problem)? F 21 F m1 12 m2 Motion of two point masses due to their gravitational interaction 3 Twobody problem vs real world 4 What is the interest in the twobody problem? 5 Gravitational force of a point mass F 21 F m1 12 m2 r Norm: m1 m2 kF 12k = kF 21k = G r 2 Direction: • Along the line joining m1 and m2 • Directed toward the attractor 6 Gravitational constant 7 Gravitational parameter of a Celestial body 8 Satellite laser ranging 9 Satellites as bodies in free fall 10 Is pointmass a good approximation for Earth gravity? 11 Gravitational potential of a uniform sphere 12 Gravitational potential of a sphericallysymmetric body 13 Outline The twobody problem µ rÜ = – r Equations of motion r 3 Resulting orbits 14 Dynamics of the two bodies 15 Motion of the center of mass 16 Equations of relative motion Assume m2 m1 17 Equations of relative motion 18 Integrals of motion: The angular momentum 19 Implication: Motion lies in a plane 20 Azimuth component of the velocity 21 Integrals of motion: The eccentricity vector 22 Relative trajectory 23 In summary 24 Outline The twobody problem µ rÜ = – r Equations of motion r 3 Resulting orbits 25 Conic sections in polar coordinates 26 Conic sections 27 Possible trajectories of the twobody