NDLI: Low Eccentricity Earth Satellite KAM Tori

Content Provider	Springer Nature Link
Author	Wiesel, William E.
Copyright Year	2015
Abstract	The accuracy of a new theory of Earth satellite motion is assessed across inclination and orbital altitude. This theory is based on periodic orbits in the zonal potential, with a Floquet solution for nearby motion, augmented by perturbation solutions for other perturbing forces. It is completely numerical and well adapted to the rich computational environments of today. Its root mean square error is generally in the tens of meters over a one day data arc, for eccentricities less than e = 0.1. The perturbation methods fail near geopotential resonances, but the theory has been adapted to handle the vicinity of a resonance without significant loss of accuracy. The geometric structure of the solution is also explored, and it is shown that most orbits in the full geopotential are static structures that rotate with the Earth’s rotation. Geopotential KAM tori shrink down to a two dimensional surface as the analog of zero eccentricity orbits. A first attempt is made at visualizing the torus over the Earth’s surface. Precision calculation of low eccentricity KAM tori may lead to much decreased stationkeeping costs for Walker constellations.
Starting Page	197
Ending Page	211
Page Count	15
File Format	PDF
ISSN	00219142
Journal	The Journal of the Astronautical Sciences
Volume Number	62
Issue Number	3
e-ISSN	21950571
Language	English
Publisher	Springer US
Publisher Date	2015-12-14
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	KAM tori Extraterrestrial Physics, Space Sciences Mathematical Applications in the Physical Sciences Aerospace Technology and Astronautics Earth orbits
Content Type	Text
Resource Type	Article
Subject	Aerospace Engineering Space and Planetary Science

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Earth satellite orbits as KAM tori

A KAM Tori Algorithm for Earth Satellite Orbits

Earth Satellite Perturbation Theories as Approximate KAM Tori

A Theory of Low Eccentricity Earth Satellite Motion

Kam Tori Normal Coordinates

Design of Satellite Formations in Orbits of High Eccentricity withPerformance Constraints Specified over a Region of Interest

Estimating Density Using Precision Satellite Orbits from Multiple Satellites

Applications of Geostatistics in Optimal Design of Satellite Altimetry Orbits and Measurement Configurations

Analysis of relative navigation in high earth orbits

Low Eccentricity Earth Satellite KAM Tori

Similar Documents

Earth satellite orbits as KAM tori

A KAM Tori Algorithm for Earth Satellite Orbits

Earth Satellite Perturbation Theories as Approximate KAM Tori

A Theory of Low Eccentricity Earth Satellite Motion

Kam Tori Normal Coordinates

Design of Satellite Formations in Orbits of High Eccentricity withPerformance Constraints Specified over a Region of Interest

Estimating Density Using Precision Satellite Orbits from Multiple Satellites

Applications of Geostatistics in Optimal Design of Satellite Altimetry Orbits and Measurement Configurations

Analysis of relative navigation in high earth orbits

Low Eccentricity Earth Satellite KAM Tori