Geodesic
Nonlinearity in the inverse problems of orbital dynamics using the example of potentially hazardous asteroids and outer satellites of Jupiter
Teoretičeskaâ i matematičeskaâ fizika, Tome 220 (2024) no. 1, pp. 13-24 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We present the results of a study of nonlinearity in inverse problems of the orbital dynamics of Jupiter's outer satellites, discovered in 2018–2022, and of potentially hazardous asteroids. The results show that for a more accurate study of orbital uncertainty, we must first find the minimum value of a nonlinearity indicator by varying the initial epoch within the measurable interval for different parametric spaces.
Keywords: inverse problems, nonlinearity, asteroids
Mots-clés : Jupiter's outer satellites. 
@article{TMF_2024_220_1_a1,
     author = {M. A. Banshchikova and O. M. Syusina},
     title = {Nonlinearity in the~inverse problems of orbital dynamics using the~example of potentially hazardous asteroids and outer satellites of {Jupiter}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {13--24},
     year = {2024},
     volume = {220},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2024_220_1_a1/}
}
TY  - JOUR
AU  - M. A. Banshchikova
AU  - O. M. Syusina
TI  - Nonlinearity in the inverse problems of orbital dynamics using the example of potentially hazardous asteroids and outer satellites of Jupiter
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2024
SP  - 13
EP  - 24
VL  - 220
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_2024_220_1_a1/
LA  - ru
ID  - TMF_2024_220_1_a1
ER  - 
%0 Journal Article
%A M. A. Banshchikova
%A O. M. Syusina
%T Nonlinearity in the inverse problems of orbital dynamics using the example of potentially hazardous asteroids and outer satellites of Jupiter
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2024
%P 13-24
%V 220
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_2024_220_1_a1/
%G ru
%F TMF_2024_220_1_a1
M. A. Banshchikova; O. M. Syusina. Nonlinearity in the inverse problems of orbital dynamics using the example of potentially hazardous asteroids and outer satellites of Jupiter. Teoretičeskaâ i matematičeskaâ fizika, Tome 220 (2024) no. 1, pp. 13-24. http://geodesic.mathdoc.fr/item/TMF_2024_220_1_a1/

[1] A. Milani, “The asteroid identification problem: I. Recovery of lost asteroids”, Icarus, 137:2 (1999), 269–292 | DOI

[2] K. Muinonen, J. Virtanen, M. Granvik, T. Laakso, “Asteroid orbits using phase-space volumes of variation”, Mon. Not. R. Astron. Soc., 368:2 (2006), 809–818 | DOI

[3] J. Virtanen, K. Muinonen, E. Bowell, “Statistical ranging of asteroid orbits”, Icarus, 154:2 (2001), 412–431 | DOI

[4] V. A. Avdyushev, “Nonlinear methods of statistic simulation of virtual parameter values for investigating uncertainties in orbits determined from observations”, Celest. Mech. Dyn. Astr., 110:4 (2011), 369–388 | DOI | MR

[5] D. M. Bates, D. G. Watts, Nonlinear Regression Analysis and Its Applications, John Wiley Sons, New York, 1988 | DOI | MR

[6] E. M. L. Beale, “Confidence regions in non-linear estimation”, J. R. Stat. Soc. Ser. B, 22:1 (1960), 41–88 | MR | Zbl

[7] A. M. Chernitsov, O. M. Dubas, V. A. Tamarov, “Modeling of regions of asteroid possible motion”, Odessa Astron. Publ., 20:1 (2007), 36–39

[8] O. M. Syusina, A. M. Chernitsov, V. A. Tamarov, “Construction of confidence regions in problem on probabilistic study into motion of minor bodies of the solar system”, Sol. Syst. Res., 46:3 (2012), 195–207 | DOI

[9] V. Avdyushev, “Intrinsic nonlinearity and method of disturbed observations in inverse problems of celestial mechanics”, Celest. Mech. Dyn. Astr., 129:4 (2017), 537–552 | DOI | MR

[10] O. M. Syusina, V. A. Tamarov, “Primenenie pokazatelya nelineinosti Bila v zadachakh otsenivaniya parametrov dvizheniya asteroidov”, Izv. vuzov. Fizika, 63:12 (2020), 96–101 | DOI

[11] V. Avdyushev, O. M. Syusina, V. A. Tamarov, “Nonlinearity in inverse problems of asteroid dynamics”, Sol. Syst. Res., 55:1 (2021), 71–82 | DOI

[12] The Minor Planet Center https://minorplanetcenter.net

[13] S. S. Sheppard, D. C. Jewitt, J. Kleyna, B. G. Marsden, R. Jacobson, Satellites of Jupiter, CBAT IAU, Circular No. 7900, 2002

[14] S. Sheppard, D. Tholen, M. Alexandersen, C. Trujillo, “New Jupiter and Saturn satellites reveal new Moon dynamical families”, Res. Notes AAS, 7:5 (2023), 100 | DOI