Alternative way to detect and measure parameters of compact dark matter object as a component of a binary system |
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| Affiliation: | 1. Department of Mathematics, S.P.M. Science and Gilani Arts and Commerce College, Ghatanji, Yavatmal, Maharashtra 445301, India;2. Department of Mathematics, Sant Gadge Baba Amravati University, Amravati 444602, Maharashtra, India;3. Department of Mathematics, G.S.G. Mahavidyalaya, Umarkhed 445206, India;1. Department of Applied Sciences, National Textile University, Faisalabad 37610, Pakistan;2. Department of Mathematics,University of the Punjab, Quaid-i-Azam Campus, Lahore 54590, Pakistan;1. Via Don G. Minzoni 26/D, Magnago (MI) 20020, Italy;2. Via Zoncada 51, Codogno (LO) 26845, Italy;3. Via Molinetto 35, Triulza di Codogno (LO) 26845, Italy;1. Department of Physics and Astronomy, Shumen University, Shumen 9700, Bulgaria;2. Instituto de Astronomia, Universidad Nacional Autonoma de Mexico, Mexico;3. Department of Astronomy, Beijing Normal University, Beijing 100875, China;1. Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University Mathura-281406, UP, India;2. Department of Mathematics, Applied Sciences, MIET, Meerut-250005, UP, India |
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| Abstract: | Various compact dark matter objects (CDOs) were discussed in the literature. Typically parameters of CDOs, such as the mass and the distance, were evaluated by using the gravitational microlensing effect. However, this method has limitations. We propose an alternative method for detecting and measuring parameters of CDOs. It is based on the scenario where there is a star having one planet, such that the orbital plane of the planet does not contain the star. This indicates the presence of a gravitating object located far away at the axis directed from the star to the planetary orbital plane. If in this direction there is no visible star, this could mean that the distant gravitating object is a CDO. We derived analytical expressions for determining the unknown mass of the CDO and its unknown distance from the star based on the parameters of the planetary orbit. We believe that this method could help obtaining additional observational data on the CDOs in particular and therefore on dark matter in general. |
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