Perturbative Analysis on Orbital Kinematics of Flybys and Applications to Doppler Observation
This paper presents a new analytical framework for Doppler covariance analysis of planetary flybys. Regardless of the strength of gravitational interaction, this analytical framework is applicable to both conservative and nonconservative perturbations. In this framework, first-order analytical formu...
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| Veröffentlicht in: | Journal of guidance, control, and dynamics control, and dynamics, 2015-09, Vol.38 (9), p.1690-1698 |
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| container_title | Journal of guidance, control, and dynamics |
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| creator | Kim, Youngkwang Park, Sang-Young |
| description | This paper presents a new analytical framework for Doppler covariance analysis of planetary flybys. Regardless of the strength of gravitational interaction, this analytical framework is applicable to both conservative and nonconservative perturbations. In this framework, first-order analytical formulas for position and velocity variation are derived for hyperbolic orbits, and a linear model of the Doppler observable is adopted for planetary flybys. Through this method, the analytical variance of the standard gravitational parameter is derived and analyzed for Doppler observations of planetary flybys. This analytical variance can predict the expected precision of the mass determination via analysis of Doppler observation data without regard for the strength of gravitational interactions. The analytical variance is also applicable to preliminary parametric analyses of flyby geometries for mass determinations. Two numerical simulations and one Monte Carlo simulation demonstrate the validity of the analytical framework and the analytical mass variance. |
| doi_str_mv | 10.2514/1.G000979 |
| format | Article |
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Regardless of the strength of gravitational interaction, this analytical framework is applicable to both conservative and nonconservative perturbations. In this framework, first-order analytical formulas for position and velocity variation are derived for hyperbolic orbits, and a linear model of the Doppler observable is adopted for planetary flybys. Through this method, the analytical variance of the standard gravitational parameter is derived and analyzed for Doppler observations of planetary flybys. This analytical variance can predict the expected precision of the mass determination via analysis of Doppler observation data without regard for the strength of gravitational interactions. The analytical variance is also applicable to preliminary parametric analyses of flyby geometries for mass determinations. Two numerical simulations and one Monte Carlo simulation demonstrate the validity of the analytical framework and the analytical mass variance.</description><identifier>ISSN: 0731-5090</identifier><identifier>EISSN: 1533-3884</identifier><identifier>DOI: 10.2514/1.G000979</identifier><language>eng</language><publisher>Reston: American Institute of Aeronautics and Astronautics</publisher><subject>Analysis of covariance ; Approximation ; Computer simulation ; Covariance ; Doppler ; Doppler effect ; Flyby missions ; Gravitation ; Kinematics ; Mathematical analysis ; Mathematical models ; Monte Carlo simulation ; Orbits ; Perturbation ; Perturbation methods ; Software ; Spacecraft ; Strength ; Variance ; Velocity</subject><ispartof>Journal of guidance, control, and dynamics, 2015-09, Vol.38 (9), p.1690-1698</ispartof><rights>Copyright © 2015 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved. Copies of this paper may be made for personal or internal use, on condition that the copier pay the $10.00 per-copy fee to the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923; include the code 1533-3884/15 and $10.00 in correspondence with the CCC.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c384t-34e2e4a2b3ea0a1686a2452b43336a2dffcefb80f5b1575722e14966a5290de63</citedby><cites>FETCH-LOGICAL-c384t-34e2e4a2b3ea0a1686a2452b43336a2dffcefb80f5b1575722e14966a5290de63</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27901,27902</link.rule.ids></links><search><creatorcontrib>Kim, Youngkwang</creatorcontrib><creatorcontrib>Park, Sang-Young</creatorcontrib><title>Perturbative Analysis on Orbital Kinematics of Flybys and Applications to Doppler Observation</title><title>Journal of guidance, control, and dynamics</title><description>This paper presents a new analytical framework for Doppler covariance analysis of planetary flybys. 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Two numerical simulations and one Monte Carlo simulation demonstrate the validity of the analytical framework and the analytical mass variance.</description><subject>Analysis of covariance</subject><subject>Approximation</subject><subject>Computer simulation</subject><subject>Covariance</subject><subject>Doppler</subject><subject>Doppler effect</subject><subject>Flyby missions</subject><subject>Gravitation</subject><subject>Kinematics</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Monte Carlo simulation</subject><subject>Orbits</subject><subject>Perturbation</subject><subject>Perturbation methods</subject><subject>Software</subject><subject>Spacecraft</subject><subject>Strength</subject><subject>Variance</subject><subject>Velocity</subject><issn>0731-5090</issn><issn>1533-3884</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><recordid>eNp9kU1Lw0AQhhdRsFYP_oMFL3pI3dnP5FiqrWKhHvQoyyadQEqarbtJIf_e1PbkwdMMz_swMLyE3AKbcAXyESYLxlhmsjMyAiVEItJUnpMRMwISxTJ2Sa5i3DAGQoMZka93DG0XctdWe6TTxtV9rCL1DV2FvGpdTd-qBrdDXAy0pPO6z_tIXbOm092urooh8U2kradPfgAY6CqPGPa__JpclK6OeHOaY_I5f_6YvSTL1eJ1Nl0mhUhlmwiJHKXjuUDHHOhUOy4Vz6UQYljXZVlgmaesVDkoowznCDLT2imesTVqMSb3x7u74L87jK3dVrHAunYN-i5aMErIDADkoN79UTe-C8Pf0XKZSSOZUOl_FhiQjBmtD9bD0SqCjzFgaXeh2rrQW2D2UIcFe6pD_AAHPXr_</recordid><startdate>20150901</startdate><enddate>20150901</enddate><creator>Kim, Youngkwang</creator><creator>Park, Sang-Young</creator><general>American Institute of Aeronautics and Astronautics</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20150901</creationdate><title>Perturbative Analysis on Orbital Kinematics of Flybys and Applications to Doppler Observation</title><author>Kim, Youngkwang ; Park, Sang-Young</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c384t-34e2e4a2b3ea0a1686a2452b43336a2dffcefb80f5b1575722e14966a5290de63</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Analysis of covariance</topic><topic>Approximation</topic><topic>Computer simulation</topic><topic>Covariance</topic><topic>Doppler</topic><topic>Doppler effect</topic><topic>Flyby missions</topic><topic>Gravitation</topic><topic>Kinematics</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Monte Carlo simulation</topic><topic>Orbits</topic><topic>Perturbation</topic><topic>Perturbation methods</topic><topic>Software</topic><topic>Spacecraft</topic><topic>Strength</topic><topic>Variance</topic><topic>Velocity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kim, Youngkwang</creatorcontrib><creatorcontrib>Park, Sang-Young</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Journal of guidance, control, and dynamics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kim, Youngkwang</au><au>Park, Sang-Young</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Perturbative Analysis on Orbital Kinematics of Flybys and Applications to Doppler Observation</atitle><jtitle>Journal of guidance, control, and dynamics</jtitle><date>2015-09-01</date><risdate>2015</risdate><volume>38</volume><issue>9</issue><spage>1690</spage><epage>1698</epage><pages>1690-1698</pages><issn>0731-5090</issn><eissn>1533-3884</eissn><abstract>This paper presents a new analytical framework for Doppler covariance analysis of planetary flybys. Regardless of the strength of gravitational interaction, this analytical framework is applicable to both conservative and nonconservative perturbations. In this framework, first-order analytical formulas for position and velocity variation are derived for hyperbolic orbits, and a linear model of the Doppler observable is adopted for planetary flybys. Through this method, the analytical variance of the standard gravitational parameter is derived and analyzed for Doppler observations of planetary flybys. This analytical variance can predict the expected precision of the mass determination via analysis of Doppler observation data without regard for the strength of gravitational interactions. The analytical variance is also applicable to preliminary parametric analyses of flyby geometries for mass determinations. Two numerical simulations and one Monte Carlo simulation demonstrate the validity of the analytical framework and the analytical mass variance.</abstract><cop>Reston</cop><pub>American Institute of Aeronautics and Astronautics</pub><doi>10.2514/1.G000979</doi><tpages>9</tpages></addata></record> |
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| ispartof | Journal of guidance, control, and dynamics, 2015-09, Vol.38 (9), p.1690-1698 |
| issn | 0731-5090 1533-3884 |
| language | eng |
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| source | Alma/SFX Local Collection |
| subjects | Analysis of covariance Approximation Computer simulation Covariance Doppler Doppler effect Flyby missions Gravitation Kinematics Mathematical analysis Mathematical models Monte Carlo simulation Orbits Perturbation Perturbation methods Software Spacecraft Strength Variance Velocity |
| title | Perturbative Analysis on Orbital Kinematics of Flybys and Applications to Doppler Observation |
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