Approximation for attraction field of irregular celestial bodies using four massive points

Approximation of the gravitational field of an irregular celestial body by the gravitational attraction field of four massive points is studied here in the framework of K-means method, known from the theory of pattern recognition. Using this approach, the simplified models for gravitational fields o...

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Bibliographic Details
Published in:Acta astronautica 2019-04, Vol.157, p.225-232
Main Authors: Burov, Alexander A., Guerman, Anna D., Nikonova, Ekaterina A., Nikonov, Vasily I.
Format: Article
Language:English
Subjects:
Approximation
Asteroid gravitational potential
Asteroids
Attraction
Gravitation theory
Gravitational fields
Irregular gravitational field
K-means algorithm
Mathematical analysis
Pattern recognition
The Steinhaus problem
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Summary:Approximation of the gravitational field of an irregular celestial body by the gravitational attraction field of four massive points is studied here in the framework of K-means method, known from the theory of pattern recognition. Using this approach, the simplified models for gravitational fields of asteroid (1620) Geographos and comet (67P) Churyumov-Gerasimenko are constructed. For asteroid (1620) Geographos, the proposed model is compared with the previously used one when this asteroid is represented by four cotangent spheres with co-planar centers. •The four-point model for the field of attraction of an irregular celestial body is proposed.•The parameters of the model are calculated using the K -means method.•The model approximates well enough the field of attraction of highly irregular composed celestial bodies.•The model is useful for studies of spacecraft dynamics in irregular gravitational fields.
ISSN:0094-5765
1879-2030
DOI:10.1016/j.actaastro.2018.11.030