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Space Flight Mechanics

Meeting 2018

Held at the AIAA SciTech Forum 2018

Kissimmee, Florida, USA 8 - 12 January 2018

Volume 1 of 3

ISBN: 978-1-5108-5704-9 Printed from e-media with permission by:

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For reprint permission, please contact AIAA’s Business Manager, Technical Papers. Contact by phone at 703-264-7500; fax at 703-264-7551 or by mail at 12700 Sunrise Valley Drive, Suite 200, Reston, VA 20191, USA. TABLE OF CONTENTS

VOLUME 1

SFM-01: ASTEROID AND NON-EARTH ORBITING MISSIONS I

Near Earth Asteroid (NEA) Scout Solar Sail Contingency Trajectory Design and Analysis (AIAA 2018-0199)...... 1 James B. Pezent, Rohan Sood, Andrew Heaton

Automatic Design of Missions to Small Bodies (AIAA 2018-0200)...... 22 Javier Roa, Alan B. Chamberlin, Ryan S. Park, Anastassios E. Petropoulos, Paul W. Chodas, Damon Landau, Davide Farnocchia

A Robust Mission Tour for NASA’s Planned Europa Clipper Mission (AIAA 2018-0202) ...... 39 Try Lam, Brent Buffington, Stefano Campagnola, Christopher Scott, Martin Ozimek

SFM-02: ATTITUDE DYNAMICS, DETERMINATION, AND CONTROL I

Generalized One Step Ahead Control Made Practical by New Stable Inverses (AIAA 2018-0203)...... 60 Bowen Wang, Richard W. Longman

Spacecraft Attitude Control using Path Integral Method via Riemann Manifold Hamiltonian Monte Carlo (AIAA 2018-0204)...... 77 Bryce G. Doerr, Richard Linares, Christopher D. Petersen

On Spacecraft Magnetic Attitude Control (AIAA 2018-0205)...... 92 Mohammed A. Desouky, Kaushik Prabhu, Ossama O. Abdelkhalik

On Iterative Learing Control of Time Varying Systems (AIAA 2018-0206)...... 103 Xiaoqiang Ji, Richard W. Longman

SFM-03: DYNAMICS AND CONTROL OF LARGE SPACE STRUCTURES AND TETHERS

A Method to Maintain Argument of Perigee in Polar using Electrodynamic Tether Propulsion (AIAA 2018- 0207)...... 122 Phillippe Reed

Nonovershooting Space Tether Deployment with Explicit Constraint of Positive Deployment Velocity (AIAA 2018- 0208)...... 132 Zheng Hong Zhu, Ming Liu, Xingqun Zhan, Baoyu Liu

Model Verification of a Satellite with Large Flexible Appendages for Control System Design (AIAA 2018-0209) ...... 143 Erwin Mooij, Derek I. Gransden

Stability Analysis of a Novel On- Propellant Storage and Transfer System (AIAA 2018-0210) ...... 168 Manikandan Vairamani, Vijay Vishal Duraisamy, Mandar D. Kulkarni, Sathya N. Gangadharan, Daniel R. Kirk, Markus Wilde, Deepak Sathyanarayan, Nagendra Somanath

Road Map to L4/L5 with a Solar Sail (AIAA 2018-0211) ...... 183 Ariadna Farres , Jeannette Heiligers, Narcis Miguel

Interplanetary Mission Design for Spinning Solar Sails Utilizing Active Shape Control of Sail Membranes (AIAA 2018-0212)...... 204 Yuki Takao, Osamu Mori, Junichiro Kawaguchi

SFM-04: LOW-THRUST TRAJECTORY DESIGN AND OPTIMIZATION I

A New Solution of Rendezvous Between Geosynchronous Satellites Based on Analytical Low-thrust Orbit Propagation (AIAA 2018-0213)...... 220 Sihang Zhang, Xiucong Sun, Chao Han, Shihai Li

Performance Comparison of Smoothing Functions for Indirect Optimization of Minimum-Fuel Low-thrust Trajectories (AIAA 2018-0214)...... 252 Ehsan Taheri, Ella M. Atkins, Ilya Kolmanovsky

Complex Interplanetary Trajectories Design with Low-Thust Based Motion Primitives (AIAA 2018-0215)...... 264 Di Wu, Ehsan Taheri

Optimal Continuous Maneuvers for Satellite Formation Reconfiguration in J2-perturbed Orbits (AIAA 2018- 0216)...... 281 Giuseppe Di Mauro, Dario Spiller, Riccardo Bevilacqua, Fabio Curti

SFM-05: SPACE TRAJECTORY DESIGN AND OPTIMIZATION I

Optimal Planar Impulsive Transfer Using Transformed Variables (AIAA 2018-0217)...... 301 Thomas E. Carter, Mayer Humi

Multi-Objective Optimal Control of Re-entry and Abort Scenarios (AIAA 2018-0218) ...... 316 Massimiliano L. Vasile, Christie Maddock, Lorenzo Ricciardi

Spacecraft Rendezvous and Pursuit/Evasion Analysis Using Reachable Sets (AIAA 2018-0219) ...... 335 Chandrakanth Venigalla, Daniel Scheeres

Optimal Range Observability Trajectory Planning of a Satellite Formation Using Angles-Only Navigation (AIAA 2018-0220)...... 350 Francisco J. Franquiz, Bogdan Udrea

SFM-06: ATTITUDE DYNAMICS DETERMINATION, AND CONTROL II

A Comparison of Linear Attitude Estimators (AIAA 2018-0470) ...... 367 Renato Zanetti, Kyle J. DeMars

Active Attitude Control Detection of a Noncooperative Space Body (AIAA 2018-0471)...... 384 Timothy D. Woodbury, John E. Hurtado

Minimum-time Attitude Maneuver of Small Satellite Mounted with Communication Antenna (AIAA 2018-0472) ...... 398 Kota Mori, Masaki Takahashi

SFM-07: ORBIT DETERMINATION AND ESTIMATION THEORY I

Smoothing for Nonlinear Multi-target Filters with Gaussian Mixture Approximations (AIAA 2018-0473) ...... 412 Gunner S. Fritsch, Kyle J. DeMars

Nonlinear Filtering Using Directional Statistics for the Orbital Tracking Problem with Perturbation Effects (AIAA 2018-0474)...... 432 John T. Kent, Shambo Bhattacharjee, Islam I. Hussein, Moriba Jah

Angles Only Initial Orbit Determination: Comparison of Relative Dynamics and Inertial Dynamics Approaches with Error Analysis (AIAA 2018-0475)...... 447 T. Alan Lovell, Kenneth R. Horneman, Alex E. Sizemore, Bradyn W. Morton

SFM-08: ASTEROID AND NON-EARTH ORBITING MISSIONS

Design of Realistic Trajectories for the Exploration of Phobos (AIAA 2018-0716)...... 468 Elisabet Canalias, Laurence Lorda, Julien Laurent-Varin

The N-dimensional K-vector with Applications (AIAA 2018-0718) ...... 483 Daniele Mortari, Carl Leake, Stoian Borissov

Co-Orbital Orbits Around the Asteroid 65803 Didymos (1996 GT) (AIAA 2018-0719)...... 501 José B. Silva Neto, Diogo M. Sanchez, Antonio F. Prado

Strategies to Find Orbits Around the Triple Asteroid 2001263 (AIAA 2018-0720)...... 518 Marina P. Cavalca, Antonio F. Prado, Jorge K. Formiga, Vivian M. Gomes

SFM-09: LOW-THRUST TRAJECTORY DESIGN AND OPTIMIZATION II

Robust Optimization of Mars Entry Trajectory under Uncertainty (AIAA 2018-0721) ...... 535 Xiuqiang Jiang, Shuang Li

Mission Scenario Analysis for All-Electric Satellites (AIAA 2018-0722) ...... 556 Suwat Sreesawet, Atri Dutta

System-Trajectory Optimization of Hybrid Transfers to the Geostationary Orbit (AIAA 2018-0723)...... 569 Simone Ceccherini, Francesco Topputo

VOLUME 2

Exploiting Sparsity in Direct Orthogonal Collocation Methods for Solving Multiple-Phase Optimal Control Problems (AIAA 2018-0724)...... 587 Yunus M. Agamawi, Anil V. Rao

SFM-10: ORBIT DETERMINATION AND ESTIMATION THOEY II

Information-Theoretic Target Search for Space Situational Awareness (AIAA 2018-0725) ...... 609 Mihir Patel, Andrew J. Sinclair, Koki Ho

Analysis of Angles-Only Hybrid Space-Based/Ground-Based Approach for Geosynchronous Orbit Catalog Maintenance (AIAA 2018-0726) ...... 627 Blythe Andrews, David Geller

The Information Content of Data Arcs for Multi-Step Sensor Tasking (AIAA 2018-0727)...... 647 Matthew J. Gualdoni, Kyle J. DeMars

Uncertainty in KS Space with Arbitrary Forces (AIAA 2018-0728) ...... 664 Lorraine M. Weis

Orbit Determination of Resident Space Objects with the Multibeam Radar Sensor BIRALES (AIAA 2018-0729)...... 672 Matteo Losacco, Pierluigi Di Lizia, Mauro Massari, Andrea Mattana, Federico Perini, Marco Schiaffino, Claudio Bortolotti, Mauro Roma, Giovanni Naldi, Giuseppe Pupillo, Germano Bianchi, Denis Cutajar, Alessio Magro, Claudio Portelli, Marco Reali, Walter Villadei

SFM-11: ASTEROID AND NON-EARTH ORBITING MISSIONS III

Dynamical Behavior of an Asteroid Undergoing Material Removal (AIAA 2018-0954) ...... 692 Daniel N. Brack, Jay W. McMahon

Hybrid Gravity Model from Asteroid Surface Topology (AIAA 2018-0955)...... 708 Jason M. Pearl, William F. Louisos, Darren L. Hitt

Orbital Dynamics of a Spacecraft in the Vicinity of a Binary Asteroid System: Impact of Solar Radiation Pressure on Orbital Motion (AIAA 2018-0956) ...... 720 Isabelle Jean, Arun K. Misra, Alfred Ng, Shrouti Dutta

Preliminary Design of Transfer Trajectories for Asteroid Exploration Missions (AIAA 2018-0957)...... 740 Jin Haeng Choi, Kwangwon Lee, Seoung-hee Lee, Chandeok Park

Application of ZEM/ZEV Guidance for Closed-loop Transfer in the Earth-moon System (AIAA 2018-0958)...... 747 Kristofer M. Drozd, Roberto Furfaro, Francesco Topputo

Least-Squares Solutions of Nonlinear Differential Equations (AIAA 2018-0959) ...... 768 Daniele Mortari, Hunter R. Johnston, Lidia I. Smith

SFM-12: ATTITUDE DYNAMICS, DETERMINATION, AND CONTROL III

A TFC Approach to Low-Thrust Trajectory Optimization in STK (AIAA 2018-0960) ...... 786 Daniel Kolosa, Jennifer Hudson

Spacecraft Attitude Motion Planning using GRAFS (AIAA 2018-0961) ...... 795 Fabio Celani, Dennis G. Lucarelli

Linear Coupled Attitude-Orbit Control Through Aerodynamic Forces (AIAA 2018-0962)...... 804 Andrew T. Harris, Christopher Petersen, Hanspeter Schaub

Optimized Thruster Distribution Matrix for Precision 6DOF Control Utilizing Dual Quaternions Dynamics (AIAA 2018-0963)...... 817 Asher Smith, Dongeun Seo

Liquid Crystal Device with Microstructure for Attitude Control of Spacecraft by Solar Radiation Pressure (AIAA 2018-0964)...... 836 Toshihiro Chujo, Hirokazu Ishida, Osamu Mori, Junichiro Kawaguchi

A Hypothetical Mechanical Design for Vibrating Mass Control Moment Gyroscopes (AIAA 2018-0965)...... 849 Ozan Tekinalp, Kivanc Azgin, Burak Akbulut, Ferhat Arberkli

SFM-13: SPACE TRAJECTORY DESIGN AND OPTIMIZATION II

A Monte Carlo Approach to Measuring Trajectory Performance Subject to Missed Thrust (AIAA 2018-0966)...... 864 Frank E. Laipert, Travis Imken

Minimum-Fuel Low-Earth Orbit Aeroglide and Aerothrust Aeroassisted Orbital Transfer Subject to Heating Constraints (AIAA 2018-0967)...... 875 Reagan Fuhr, Anil V. Rao

Trajectory Design Considerations for Exploration Mission 1 (AIAA 2018-0968) ...... 918 Timothy F. Dawn, Jeffrey Gutkowski, Amelia Batcha, Jacob Williams, Samuel Pedrotty

SFM-14: SPACE TRAJECTORY DESIGN AND OPTIMIZATION III

Julia Language Ephemeris and Physical Constants Reader for Solar System Bodies (AIAA 2018-1450)...... 939 Kaela M. Martin, Julia Mihaylov, Renee Spear, Damon Landau

Application of Modern Fortran to Spacecraft Trajectory Design and Optimization (AIAA 2018-1451) ...... 948 Jacob Williams, Robert D. Falck, Izaak B. Beekman

Parallel Monotonic Basin Hopping for Low Thrust Trajectory Optimization (AIAA 2018-1452)...... 974 Steven L. McCarty, Melissa McGuire

Efficiency Improvement of Trajectory Design by Elucidating the Mechanical Structure of Swing-By in Multi-Body Dynamics System (AIAA 2018-1453) ...... 985 Yuki Kayama, Yasuhiro Kawakatsu, Takanao Saiki

SFM-15/GNC-29: SPACECRAFT GN&C I

Halo Orbit Station-keeping using Nonlinear MPC and Polynomial Optimization (AIAA 2018-1454)...... 996 Gaurav Misra, Hao Peng, Xiaoli Bai

High-Order Orbital Guidance Using State-Transition Tensors (AIAA 2018-1455)...... 1007 Jay W. McMahon

Variable-Time-Domain Neighboring Optimal Guidance and Attitude Control for Low-Thrust Orbit Transfers (AIAA 2018-1456)...... 1022 Mauro Pontani, Fabio Celani

Adaptive Control Allocation for Powered Descent Vehicles (AIAA 2018-1457)...... 1047 Justin Green, Robert Lindberg

Atmospheric Entry Guidance Based on Differential Algebra for High Elevation Mars Landing (AIAA 2018-1458) ...... 1061 Paolo Lunghi, Roberto Armellin, Pierluigi Di Lizia, Kenneth D. Mease, Michele R. Lavagna

SFM-17: DYNAMICAL SYSTEMS THEORY APPLIED TO SPACE FLIGHT PROBLEMS

Escape Trajectory for the Martian Moon Sample Return Mission Using Tube Dynamics (AIAA 2018-1688) ...... 1074 Kazutoshi Takemura, Yasuhiro Kawakatsu, Hiroaki Yoshimura

Dynamics of Asteroid 2006 RH120: Temporary Capture Phase (AIAA 2018-1689)...... 1087 Brian D. Anderson, Martin Lo

Impulsive and Low-Thrust Transfer Design Between Stable and Nearly-Stable Periodic Orbits in the Restricted Problem (AIAA 2018-1690)...... 1110 Robert E. Pritchett, Emily Zimovan, Kathleen Howell

Design and Feasibility Assessment of Ultra Low Thrust Trajectories to the Sun-Earth Saddle Point (AIAA 2018- 1691)...... 1134 Francesco Topputo, Diogene A. Dei Tos, Mirco Rasotto, Florian Renk

The Topology of Transport Through Planar Lyapunov Orbits (AIAA 2018-1692) ...... 1149 Travis Swenson, Martin Lo, Brian D. Anderson, Thomas Gorordo

VOLUME 3

SFM-19: FORMATION FLYING AND RELATIVE MOTION I

Validated Semi-Analytical Transition Matrices for Linearized Relative Spacecraft Dynamics via Chebyshev Series Approximations (AIAA 2018-1960)...... 1166 Paulo Ricardo Arantes Gilz, Florent Bréhard, Clément Gazzino

Real-Time Collision Avoidance for Multiple Spacecraft Operations via Discrete-Time Generating Functions (AIAA 2018-1961)...... 1188 Kwangwon Lee, Chandeok Park

Formation Flying in Multiple Libration Orbits in the Circular Restricted Four-Body Problem (AIAA 2018-1962) ...... 1193 Peter Scarcella, David B. Spencer

ORB-SLAM Applied to Spacecraft Non-Cooperative Rendezvous (AIAA 2018-1963) ...... 1216 Mehregan Dor, Panagiotis Tsiotras

Da-based Nonlinear Filters for Spacecraft Relative State Estimation (AIAA 2018-1964)...... 1233 Francesco Cavenago, Pierluigi Di Lizia, Mauro Massari, Simone Servadio, Alexander Wittig

Decentralized Estimation of Spacecraft Relative Motion Using Consensus Extended (AIAA 2018- 1965)...... 1250 Jingwei Wang, Eric A. Butcher

SFM-20: ORBITAL DYNAMICS, PERTUBATIONS, STABILITY, AND SATELLITE DRAG I

Using Artificial Neural Network in Machine Learning Approach to Improve Orbit Prediction Accuracy (AIAA 2018-1966)...... 1265 Hao Peng, Xiaoli Bai

A Perturbed F and G Solution with Application to Orbit Estimation (AIAA 2018-1967)...... 1284 Divinaa Burder, Troy Henderson

Multi-Revolution Perturbed Lambert's Problem (AIAA 2018-1968)...... 1291 Roberto Armellin, David Gondelach, Juan Felix San Juan

SFM-21: SPACE SITUATIONAL AWARENESS, ORBITAL DEBRIS, AND CONJUNCTION ANALYSIS I

THALASSA: A Fast Orbit Propagator for Near-earth and Cislunar Space (AIAA 2018-1970)...... 1313 Davide Amato, Aaron J. Rosengren, Claudio Bombardelli

Optical Data Processing Using Directional Statistics In a Multiple Hypothesis Framework With Maneuvering Objects (AIAA 2018-1971)...... 1332 Weston R. Faber, Islam I. Hussein, John T. Kent, Shambo Bhattacharjee, Moriba Jah

Fisher-Bingham-Kent Mixture Models for Angles-Only Observation Processing (AIAA 2018-1972)...... 1342 John T. Kent, Shambo Bhattacharjee, Islam I. Hussein, Weston R. Faber, Moriba Jah

The Spacecraft Orbital Characterization Kit and its Applications to the CYGNSS Mission. (AIAA 2018-1973)...... 1356 Charles Bussy-Virat, Joel Getchius, Aaron Ridley

Development of The Probabilistic Admissible Region With Equinoctial Orbital Elements (AIAA 2018-1974) ...... 1390 Michael Mercurio, Waqar Zaidi, Weston R. Faber, Christopher W. Roscoe, Islam I. Hussein, Matt Wilkins, Paul W. Schumacher

SFM-22/GNC-43: SPACECRAFT GN&C III

Angles-Only Orbit Determination Using Hamiltonian Monte Carlo (AIAA 2018-1975)...... 1403 Lauren Schlenker, Andrew J. Sinclair, Richard Linares

Angles-Only Navigation of a Formation in the Proximity of a Binary System (AIAA 2018-1976)...... 1420 Massimiliano L. Vasile, Francesco Torre, Romain Serra, Stuart Grey

Autonomous Optical Navigation for LUMIO Mission (AIAA 2018-1977) ...... 1435 Vittorio Franzese, Pierluigi Di Lizia, Francesco Topputo

Orion Optical Navigation Progress Toward Exploration Mission 1 (AIAA 2018-1978)...... 1446 Greg N. Holt, Christopher N. D'Souza, David W. Saley

A Performance Based Comparison of Deep-space Navigation using Optical Communication and Conventional Navigation Techniques: Small Body Missions (AIAA 2018-1979)...... 1458 Reza R. Karimi, Tomas J. Martin-Mur, Sarah Elizabeth McCandless

Relative Pose Stabilization using Backstepping Control with Dual Quaternions (AIAA 2018-1980)...... 1471 Alfredo Valverde, Panagiotis Tsiotras

SFM-24: FORMATION FLYING AND RELATIVE MOTION II

Pulse-Width Pulse-Frequency Modulated Nonlinear Model Predictive Control for Spacecraft Rendezvous (AIAA 2018-2218)...... 1485 Peng Li, Zheng Hong Zhu

Reconfiguration of Small-Satellite General Circular Orbit Formations (AIAA 2018-2219)...... 1497 Robert LaRue, Kirk Johnson

Applied Reachability Analysis for Spacecraft Rendezvous and Docking with a Tumbling Object (AIAA 2018-2220) ...... 1510 Costantinos Zagaris, Marcello Romano

Experimental Results on the Vision-based Navigation System for Spacecraft Operation in Proximity using Ground Test Facility (AIAA 2018-2222) ...... 1530 Youngho Eun, Geuk-Nam Kim, Jeonghoon Hyun, Sang-Young Park

SFM-25: ORBITAL DYNAMICS, PERTUBATIONS, STABILITY, AND SATELLITE DRAG II

Differential Dynamic Programming in the Three-Body Problem (AIAA 2018-2223)...... 1538 Jonathan D. Aziz, Daniel Scheeres, Gregory Lantoine

Families of Unstable Quasi-Satellite Orbits in the Spatial Circular Restricted Three-Body Problem (AIAA 2018- 2224)...... 1565 Kenta Oshima, Tomohiro Yanao

Tuning Orthogonal Polynomial Degree and Segment Interval Length to Achieve Prescribed Precision Approximation of Irregular Functions (AIAA 2018-2225)...... 1593 Ahmed M. Atallah, Robyn M. Woollands, Ahmad Bani Younes, John L. Junkins

On Satellite Orbit Decay Compensation in Low Earth Orbits (AIAA 2018-2226) ...... 1607 Ehsan Taheri, Robert A. Zidek, Ilya Kolmanovsky, Anouck Girard

High Fidelity Modeling of SRP and Its Effect on the Relative Motion of Starshade and WFIRST (AIAA 2018-2227)...... 1625 Ariadna Farres, Cassandra Webster, David Folta

Improvements to Modeling and Trajectory Simulation of Mars Aerocapture and (AIAA 2018-2228)...... 1640 Eric J. Kazmierczak, Navid Nakhjiri

SFM-26: SPACE SITUATIONAL AWARENESS, ORBITAL DEBRIS, AND CONJUCTION ANALYSIS II

Optimal Deployment of Solar Radiation Pressure Enhancement Devices for Mitigation (AIAA 2018- 2229)...... 1659 Marielle M. Pellegrino, Daniel Scheeres

Statistical Pairwise Collision Probability of the International Space Station with Debris (AIAA 2018-2230)...... 1676 Kenneth F. Chan, Weiping Zhou

Collision Probability for Rectangular Cross Sections (AIAA 2018-2231)...... 1701 Yuchen Xie, Kenneth F. Chan

Full Characterization of Satellite Conjunction Walk-ins (AIAA 2018-2232)...... 1715 Salvatore Alfano, Daniel Oltrogge

Application Of Multi-Hypothesis Sequential Monte Carlo For Breakup Analysis With The Comparison Of Two Probabilistic Admissible Region Techniques (AIAA 2018-2233)...... 1729 Weston R. Faber, Waqar Zaidi, Michael Mercurio, Islam I. Hussein, Matt Wilkins, Christopher W. Roscoe, Paul W. Schumacher

CubeSat Detection Using Convolutional Neural Networks (AIAA 2018-2234)...... 1742 Sujeewa Gamage, Yang Cheng

Author Index