An Analytical Theory for the Perturbative Effect of Solar Radiation Pressure on Natural and Artificial Satellites

[1]  R. Broucke Orbital motion , 1980 .

[2]  Colin R. McInnes,et al.  Analytic control laws for near-optimal geocentric solar sail transfers , 2001 .

[3]  Dirk Brouwer,et al.  Methods of Celestial Mechanics. , 1962 .

[4]  G. E. Cook Satellite drag coefficients , 1965 .

[5]  William K. Hartmann,et al.  Reviewing the Yarkovsky effect: New light on the delivery of stone and iron meteorites from the asteroid belt , 1999 .

[6]  Y. Bar-Sever,et al.  New Empirically Derived Solar Radiation Pressure Model for Global Positioning System Satellites During Eclipse Seasons , 2005 .

[7]  L. G. Taff,et al.  Celestial Mechanics: A Computational Guide for the Practitioner , 1985 .

[8]  D. Campbell,et al.  Binary Asteroids in the Near-Earth Object Population , 2002, Science.

[9]  G. Beutler,et al.  A New Solar Radiation Pressure Model for GPS Satellites , 1999, GPS Solutions.

[10]  J. Junkins,et al.  Analytical Mechanics of Space Systems , 2003 .

[11]  M. Ćuk Formation and Destruction of Small Binary Asteroids , 2007 .

[12]  D. Scheeres,et al.  Simulation and analysis of the dynamics of binary near-Earth Asteroid (66391) 1999 KW4 , 2008 .

[13]  T. Statler,et al.  Extreme sensitivity of the YORP effect to small-scale topography , 2009, 0903.1119.

[14]  Jeng-Shing Chern,et al.  Aerodynamic and gravity gradient stabilization for microsatellites , 2000 .

[15]  Chris Sabol,et al.  Effects of Perturbations on Space Debris in Supersynchronous Storage Orbits , 1998 .

[16]  John C. Ries,et al.  Assessment of the solar radiation model for grace orbit determination , 2008 .

[17]  Daniel J. Scheeres,et al.  Generalized Model for Solar Sails , 2005 .

[18]  P. Farinella,et al.  Solar radiation pressure perturbations for Earth satellites. 1: A complete theory including penumbra transitions , 1993 .

[19]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[20]  H. Klinkrad,et al.  Accurate Prediction of Non-Gravitational Forces for Precise Orbit Determination Part II: Determination of Perturbing Forces and Torques in an Orbital Environment , 2004 .

[21]  D. Scheeres,et al.  Stability Analysis of Planetary Satellite Orbiters: Application to the Europa Orbiter , 2001 .

[22]  Bong Wie,et al.  Solar Sail Attitude Control and Dynamics, Part 1 , 2004 .

[23]  Daniel J. Scheeres,et al.  Rotational fission of contact binary asteroids , 2007 .

[24]  R. Roy,et al.  Photometric Survey of Binary Near-Earth Asteroids , 2006 .

[25]  Richard Haberman,et al.  Applied partial differential equations , 2004 .

[26]  Daniel J. Scheeres,et al.  Solar-Sail Navigation: Estimation of Force, Moments, and Optical Parameters , 2007 .

[27]  S. Paddack,et al.  Rotational bursting of small celestial bodies: Effects of radiation pressure , 1969 .

[28]  Daniel J. Scheeres,et al.  Stability of the planar full 2-body problem , 2009 .

[29]  Dirk Brouwer,et al.  Theoretical evaluation of atmospheric drag effects in the motion of an artificial satellite , 1961 .

[30]  D. D. Mueller,et al.  Fundamentals of Astrodynamics , 1971 .

[31]  R. A. Gick,et al.  Long-term evolution of navigation satellite orbits: GPS/GLONASS/GALILEO , 2004 .

[32]  Hyung-Jin Rim,et al.  Radiation Pressure Modeling for ICESat Precision Orbit Determination , 2006 .

[33]  M. Swartwout Earth Escape Using a Slowly Rotating, Doubly Reflective Solar Sail , 2005 .

[34]  J. V. D. Ha,et al.  Orbital Perturbations and Control by Solar Radiation Forces , 1978 .

[35]  R. Nakamura,et al.  The effect of YORP on Itokawa , 2007 .

[36]  F. Verhulst,et al.  Averaging Methods in Nonlinear Dynamical Systems , 1985 .

[37]  Petr Pravec,et al.  Direct Detection of the Asteroidal YORP Effect , 2007, Science.

[38]  Colin R. McInnes,et al.  Solar Sail Hybrid Trajectory Optimization for Non-Keplerian Orbit Transfers , 2002 .

[39]  Yoshihide Kozai,et al.  The motion of a close earth satellite , 1959 .

[40]  J. Hudson,et al.  Reduction of Low-Thrust Continuous Controls for Trajectory Dynamics and Orbital Targeting. , 2009 .

[41]  Tim Flohrer,et al.  Properties of the high area-to-mass ratio space debris population at high altitudes , 2006 .

[42]  B. Tapley,et al.  Earth radiation pressure effects on satellites , 1988 .

[43]  D. Vallado Fundamentals of Astrodynamics and Applications , 1997 .

[44]  Malcolm MacDonald,et al.  Solar Sailing , 2003 .

[45]  R. Moraes,et al.  Non-gravitational disturbing forces , 1994 .

[46]  Yoshibide Kozai,et al.  Second-order solution of artificial satellite theory without air drag , 1962 .

[47]  K. M. Russ,et al.  New and Improved Solar Radiation Models for GPS Satellites Based on Flight Data , 1997 .

[48]  C. Pardini,et al.  Long-term dynamical evolution of high area-to-mass ratio debris released into high earth orbits , 2010 .

[49]  A. Fitzsimmons,et al.  Spin Rate of Asteroid (54509) 2000 PH5 Increasing Due to the YORP Effect , 2007, Science.

[50]  Derek C. Richardson,et al.  A steady-state model of NEA binaries formed by tidal disruption of gravitational aggregates , 2008 .

[51]  Robert Forward,et al.  The statite - A non-orbiting spacecraft , 1989 .

[52]  André Deprit,et al.  Canonical transformations depending on a small parameter , 1969 .

[53]  Re'em Sari,et al.  TIDAL EVOLUTION OF RUBBLE PILES , 2007, 0712.0446.

[54]  R. Battin An introduction to the mathematics and methods of astrodynamics , 1987 .

[55]  S. Luthcke,et al.  Erratum-Modeling Radiation Forces Acting on Topex/Poseidon for Precision Orbit Determination , 1992 .

[56]  S. Mikkola,et al.  The Kozai Mechanism and the Stability of Planetary Orbits in Binary Star Systems , 1997 .

[57]  Colin R. McInnes,et al.  Periodic Orbits Above the Ecliptic in the Solar-Sail Restricted Three-Body Problem , 2007 .

[58]  D. Rubincam,et al.  Asteroid orbit evolution due to thermal drag , 1995 .

[59]  I. Newton,et al.  Newton's “Principia” , 2010, Nature.

[60]  D. Scheeres,et al.  Secular orbit variation due to solar radiation effects: a detailed model for BYORP , 2009 .

[61]  J. O'keefe,et al.  Tektites and their origin , 1976 .

[62]  John D. Fuller,et al.  Improved Method for the Estimation of Spacecraft Free-Molecular Aerodynamic Properties , 2009 .

[63]  Joseph A. Burns,et al.  Effects of thermal radiation on the dynamics of binary NEAs , 2004 .

[64]  Colin R. McInnes,et al.  Realistic Earth escape strategies for solar sailing , 2005 .

[65]  C. McInnes,et al.  GEOSAIL: Exploring the Geomagnetic Tail Using a Small Solar Sail , 2001 .

[66]  Colin R. McInnes,et al.  Control of Lagrange point orbits using solar sail propulsion , 2008 .

[67]  D. Rubincam,et al.  Radiative Spin-up and Spin-down of Small Asteroids , 2000 .

[68]  Dirk Brouwer,et al.  SOLUTION OF THE PROBLEM OF ARTIFICIAL SATELLITE THEORY WITHOUT DRAG , 1959 .

[69]  André Deprit,et al.  The main problem of artificial satellite theory for small and moderate eccentricities , 1970 .

[70]  Colin R. McInnes,et al.  Dynamics and control of displaced periodic orbits using solar sail propulsion , 2006 .

[71]  Luciano Anselmo,et al.  Analytical and semi-analytical investigations of geosynchronous space debris with high area-to-mass ratios , 2008 .

[72]  Perinkulam S. Krishnaprasad,et al.  Hamiltonian dynamics of a rigid body in a central gravitational field , 1990 .

[73]  Beny Neta,et al.  Semianalytic Satellite Theory (SST): Mathematical Algorithms , 1994 .

[74]  D. Scheeres,et al.  Rotational dynamics of a solar system body under solar radiation torques , 2008 .

[75]  David M. Lucchesi,et al.  Reassessment of the error modelling of non-gravitational perturbations on LAGEOS II and their impact in the Lense–Thirring determination. Part I , 2001 .

[76]  Optimal three-dimensional heliocentric solar-sail rendezvous transfer trajectories , 1993 .

[77]  D. Scheeres The Dynamics of NEO Binary Asteroids , 2006, Proceedings of the International Astronomical Union.

[78]  P. Farinella,et al.  Solar radiation pressure perturbations for Earth satellites. III. Global atmospheric phenomena and the albedo effect , 1994 .

[79]  H. Fliegel,et al.  Global Positioning System Radiation Force Model for geodetic applications , 1992 .

[80]  E. A. Roth The gaussian form of the variation-of-parameter equations formulated in equinoctial elements—Applications: Airdrag and radiation pressure , 1985 .

[81]  M. Kaasalainen,et al.  Acceleration of the rotation of asteroid 1862 Apollo by radiation torques , 2007, Nature.

[82]  D. Lawrence,et al.  Solar Sail Dynamics and Coning Control in Circular Orbits , 2009 .

[83]  Colin R. McInnes,et al.  Invariant Manifolds and Orbit Control in the Solar Sail Three-Body Problem , 2008 .

[84]  D. Scheeres,et al.  New Solar Radiation Pressure Force Model for Navigation , 2010 .

[85]  B. Fritsche,et al.  Accurate Prediction of Non-Gravitational Forces for Precise Orbit Determination - Part I: Principles of the Computation of Coefficients of Force and Torque , 2004 .

[86]  Chen Junping,et al.  Models of Solar Radiation Pressure in the Orbit Determination of GPS Satellites , 2007 .

[87]  V. Modi,et al.  On the periodic solutions and resonance of spinning satellites in near-circular orbits , 1975 .

[88]  M. Ćuk,et al.  Orbital evolution of small binary asteroids , 2010 .

[89]  S. F. Mello Analytical Study of the Earth's Shadowing Effects on Satellite Orbits , 1972 .

[90]  D. Scheeres The dynamical evolution of uniformly rotating asteroids subject to YORP , 2006 .

[91]  Daniel J. Scheeres,et al.  Radar Imaging of Binary Near-Earth Asteroid (66391) 1999 KW4 , 2006, Science.

[92]  D. Vokrouhlický,et al.  The YORP effect with finite thermal conductivity , 2004 .

[93]  Jan Kouba,et al.  A simplified yaw-attitude model for eclipsing GPS satellites , 2009 .

[94]  A. Morbidelli Origin and Evolution of Near Earth Asteroids , 1999 .

[95]  Norman Sands Escape From Planetary Gravitational Fields by Use of Solar Sails , 1961 .

[96]  D. Richardson,et al.  Binary near-Earth asteroid formation: Rubble pile model of tidal disruptions , 2005 .

[97]  R. H. Lyddane Small eccentricities or inclinations in the Brouwer theory of the artificial satellite , 1963 .

[98]  V. Arnold Mathematical Methods of Classical Mechanics , 1974 .

[99]  V. V. Radzievskii A mechanism for the disintegration of asteroids and meteorites , 1952 .

[100]  Colin R. McInnes,et al.  Microsolar sails for Earth magnetotail monitoring , 2007 .

[101]  D. Vokrouhlický,et al.  The Effect of Yarkovsky Thermal Forces on the Dynamical Evolution of Asteroids and Meteoroids , 2002 .

[102]  M. Ziebart Generalized Analytical Solar Radiation Pressure Modeling Algorithm for Spacecraft of Complex Shape , 2004 .

[103]  D. Scheeres,et al.  Detailed prediction for the BYORP effect on binary near-Earth Asteroid (66391) 1999 KW4 and implications for the binary population , 2010 .

[104]  Daniel J. Scheeres,et al.  Satellite Dynamics about Small Bodies: Averaged Solar Radiation Pressure Effects , 1999 .

[105]  H. Fliegel,et al.  Solar force modeling of block IIR Global Positioning System satellites , 1996 .

[106]  Alessandro Antonio Quarta,et al.  Near-Optimal Solar-Sail Orbit-Raising from Low Earth Orbit , 2005 .

[107]  Brett James Gladman,et al.  The Near-Earth Object Population , 2000 .

[108]  Colin R. McInnes,et al.  Heliocentric Solar Sail Orbit Transfers with Locally Optimal Control Laws , 2007 .

[109]  D. Rubincam Yarkovsky Thermal Drag on LAGEOS , 1988 .

[110]  S. K. Shrivastava,et al.  Satellite attitude dynamics and control in the presence of environmental torques - A brief survey , 1983 .

[111]  Eric K. Sutton,et al.  Normalized Force Coefficients for Satellites with Elongated Shapes , 2009 .

[112]  D. Rubincam,et al.  LAGEOS orbit decay due to infrared radiation from Earth , 1987 .