Epicycle analysis for the LISA orbits

A. John Iannacone; Robert G. Melton

Epicycle analysis for the LISA orbits

A. John Iannacone
, Robert G. Melton

Aerospace Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Previous research has developed a time-explicit series representation accurate to 3^rd order in orbital eccentricity for the Cartesian coordinates of a satellite relative to a circular reference orbit (i.e., a series representation of epicyclic motion) with an intended application to the Laser Interferometer Space Antenna (LISA) mission. This paper extends the series expansion to 9^th order and examines the convergence properties by numerical analysis. While the additional terms in the expansion do not add significantly to the accuracy for eccentricities of the order used for LISA, they do reveal convergence problems for certain values of mean anomaly when the eccentricity is relatively high. Copyright IAF/IAA. All rights reserved.

Original language	English (US)
Title of host publication	International Astronautical Federation - 58th International Astronautical Congress 2007
Publisher	International Astronautical Federation, IAF
Pages	4320-4331
Number of pages	12
ISBN (Print)	9781605601502
State	Published - 2007
Event	58th International Astronautical Congress 2007 - Hyderabad, India Duration: Sep 24 2007 → Sep 28 2007

Publication series

Name	International Astronautical Federation - 58th International Astronautical Congress 2007
Volume	7

Other

Other	58th International Astronautical Congress 2007
Country/Territory	India
City	Hyderabad
Period	9/24/07 → 9/28/07

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 7 Affordable and Clean Energy

All Science Journal Classification (ASJC) codes

Management, Monitoring, Policy and Law
Renewable Energy, Sustainability and the Environment
Fuel Technology
General Energy
Energy Engineering and Power Technology
Modeling and Simulation
Aerospace Engineering
Space and Planetary Science

Cite this

@inproceedings{b55e70f614194c889ad72c152adacfb9,

title = "Epicycle analysis for the LISA orbits",

abstract = "Previous research has developed a time-explicit series representation accurate to 3rd order in orbital eccentricity for the Cartesian coordinates of a satellite relative to a circular reference orbit (i.e., a series representation of epicyclic motion) with an intended application to the Laser Interferometer Space Antenna (LISA) mission. This paper extends the series expansion to 9th order and examines the convergence properties by numerical analysis. While the additional terms in the expansion do not add significantly to the accuracy for eccentricities of the order used for LISA, they do reveal convergence problems for certain values of mean anomaly when the eccentricity is relatively high. Copyright IAF/IAA. All rights reserved.",

author = "\{John Iannacone\}, A. and Melton, \{Robert G.\}",

year = "2007",

language = "English (US)",

isbn = "9781605601502",

series = "International Astronautical Federation - 58th International Astronautical Congress 2007",

publisher = "International Astronautical Federation, IAF",

pages = "4320--4331",

booktitle = "International Astronautical Federation - 58th International Astronautical Congress 2007",

note = "58th International Astronautical Congress 2007 ; Conference date: 24-09-2007 Through 28-09-2007",

}

John Iannacone, A & Melton, RG 2007, Epicycle analysis for the LISA orbits. in International Astronautical Federation - 58th International Astronautical Congress 2007. International Astronautical Federation - 58th International Astronautical Congress 2007, vol. 7, International Astronautical Federation, IAF, pp. 4320-4331, 58th International Astronautical Congress 2007, Hyderabad, India, 9/24/07.

Epicycle analysis for the LISA orbits. / John Iannacone, A.; Melton, Robert G.
International Astronautical Federation - 58th International Astronautical Congress 2007. International Astronautical Federation, IAF, 2007. p. 4320-4331 (International Astronautical Federation - 58th International Astronautical Congress 2007; Vol. 7).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Epicycle analysis for the LISA orbits

AU - John Iannacone, A.

AU - Melton, Robert G.

PY - 2007

Y1 - 2007

N2 - Previous research has developed a time-explicit series representation accurate to 3rd order in orbital eccentricity for the Cartesian coordinates of a satellite relative to a circular reference orbit (i.e., a series representation of epicyclic motion) with an intended application to the Laser Interferometer Space Antenna (LISA) mission. This paper extends the series expansion to 9th order and examines the convergence properties by numerical analysis. While the additional terms in the expansion do not add significantly to the accuracy for eccentricities of the order used for LISA, they do reveal convergence problems for certain values of mean anomaly when the eccentricity is relatively high. Copyright IAF/IAA. All rights reserved.

AB - Previous research has developed a time-explicit series representation accurate to 3rd order in orbital eccentricity for the Cartesian coordinates of a satellite relative to a circular reference orbit (i.e., a series representation of epicyclic motion) with an intended application to the Laser Interferometer Space Antenna (LISA) mission. This paper extends the series expansion to 9th order and examines the convergence properties by numerical analysis. While the additional terms in the expansion do not add significantly to the accuracy for eccentricities of the order used for LISA, they do reveal convergence problems for certain values of mean anomaly when the eccentricity is relatively high. Copyright IAF/IAA. All rights reserved.

UR - https://www.scopus.com/pages/publications/54949115923

UR - https://www.scopus.com/pages/publications/54949115923#tab=citedBy

M3 - Conference contribution

AN - SCOPUS:54949115923

SN - 9781605601502

T3 - International Astronautical Federation - 58th International Astronautical Congress 2007

SP - 4320

EP - 4331

BT - International Astronautical Federation - 58th International Astronautical Congress 2007

PB - International Astronautical Federation, IAF

T2 - 58th International Astronautical Congress 2007

Y2 - 24 September 2007 through 28 September 2007

ER -

Epicycle analysis for the LISA orbits

Abstract

Publication series

Other

UN SDGs

All Science Journal Classification (ASJC) codes

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Cite this