# Motions of Kepler circumbinary planets in restricted three-body problem under radiating primaries

## Abstract

By observing continuously a single field of view in the sky, Kepler mission reveals outstanding results on discoveries of exoplanets. One of its recent progress is the discoveries of circumbinary planets. A circumbinary planet is an exoplanet that moves around a binary system. In this study we investigate motions of Kepler circumbinary planets belong to six binary systems, namely Kepler-16, -34, -35, -38, -47, and -413. The motions are considered to follow the Restricted Three-Body Problem (RTBP). Because the primaries (central massive objects) are stars, they are both radiatives, while the planet is an infinitesimal object. The primaries move in nearly circular and elliptic orbits with respect to their center of masses. We describe, in general, motions of the circumbinary planets in RTBP under radiating primaries. With respect to the averaged zero velocity curves, we show that motions of the exoplanets are stable, in accordance with their Hill stabilities.

- Authors:

- Astronomy Research Division, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Jalan Ganesha 10, Bandung 40132 (Indonesia)
- Department of Astronomy, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Jalan Ganesha 10, Bandung 40132 (Indonesia)
- Department of Computational Science, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Jalan Ganesha 10, Bandung 40132 (Indonesia)

- Publication Date:

- OSTI Identifier:
- 22488914

- Resource Type:
- Journal Article

- Journal Name:
- AIP Conference Proceedings

- Additional Journal Information:
- Journal Volume: 1677; Journal Issue: 1; Conference: 5. international conference on mathematics and natural sciences, Bandung (Indonesia), 2-3 Nov 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; DIAGRAMS; MASS; ORBITS; PLANETS; SKY; STABILITY; STARS; THREE-BODY PROBLEM; VELOCITY

### Citation Formats

```
Dermawan, B., E-mail: budider@as.itb.ac.id, Hidayat, T., E-mail: taufiq@as.itb.ac.id, Huda, I. N., E-mail: ibnu.nurul@students.itb.ac.id, Mandey, D., E-mail: mandey.de@gmail.com, Utama, J. A., E-mail: judhistira@yahoo.com, Tampubolon, I., E-mail: ihsan.tampubolon@gmail.com, and Wibowo, R. W., E-mail: ridlo.w.wibowo@gmail.com.
```*Motions of Kepler circumbinary planets in restricted three-body problem under radiating primaries*. United States: N. p., 2015.
Web. doi:10.1063/1.4930665.

```
Dermawan, B., E-mail: budider@as.itb.ac.id, Hidayat, T., E-mail: taufiq@as.itb.ac.id, Huda, I. N., E-mail: ibnu.nurul@students.itb.ac.id, Mandey, D., E-mail: mandey.de@gmail.com, Utama, J. A., E-mail: judhistira@yahoo.com, Tampubolon, I., E-mail: ihsan.tampubolon@gmail.com, & Wibowo, R. W., E-mail: ridlo.w.wibowo@gmail.com.
```*Motions of Kepler circumbinary planets in restricted three-body problem under radiating primaries*. United States. doi:10.1063/1.4930665.

```
Dermawan, B., E-mail: budider@as.itb.ac.id, Hidayat, T., E-mail: taufiq@as.itb.ac.id, Huda, I. N., E-mail: ibnu.nurul@students.itb.ac.id, Mandey, D., E-mail: mandey.de@gmail.com, Utama, J. A., E-mail: judhistira@yahoo.com, Tampubolon, I., E-mail: ihsan.tampubolon@gmail.com, and Wibowo, R. W., E-mail: ridlo.w.wibowo@gmail.com. Wed .
"Motions of Kepler circumbinary planets in restricted three-body problem under radiating primaries". United States. doi:10.1063/1.4930665.
```

```
@article{osti_22488914,
```

title = {Motions of Kepler circumbinary planets in restricted three-body problem under radiating primaries},

author = {Dermawan, B., E-mail: budider@as.itb.ac.id and Hidayat, T., E-mail: taufiq@as.itb.ac.id and Huda, I. N., E-mail: ibnu.nurul@students.itb.ac.id and Mandey, D., E-mail: mandey.de@gmail.com and Utama, J. A., E-mail: judhistira@yahoo.com and Tampubolon, I., E-mail: ihsan.tampubolon@gmail.com and Wibowo, R. W., E-mail: ridlo.w.wibowo@gmail.com},

abstractNote = {By observing continuously a single field of view in the sky, Kepler mission reveals outstanding results on discoveries of exoplanets. One of its recent progress is the discoveries of circumbinary planets. A circumbinary planet is an exoplanet that moves around a binary system. In this study we investigate motions of Kepler circumbinary planets belong to six binary systems, namely Kepler-16, -34, -35, -38, -47, and -413. The motions are considered to follow the Restricted Three-Body Problem (RTBP). Because the primaries (central massive objects) are stars, they are both radiatives, while the planet is an infinitesimal object. The primaries move in nearly circular and elliptic orbits with respect to their center of masses. We describe, in general, motions of the circumbinary planets in RTBP under radiating primaries. With respect to the averaged zero velocity curves, we show that motions of the exoplanets are stable, in accordance with their Hill stabilities.},

doi = {10.1063/1.4930665},

journal = {AIP Conference Proceedings},

issn = {0094-243X},

number = 1,

volume = 1677,

place = {United States},

year = {2015},

month = {9}

}