---
_id: '8418'
abstract:
- lang: eng
  text: For the Restricted Circular Planar 3 Body Problem, we show that there exists
    an open set U in phase space of fixed measure, where the set of initial points
    which lead to collision is O(μ120) dense as μ→0.
article_processing_charge: No
article_type: original
author:
- first_name: Marcel
  full_name: Guardia, Marcel
  last_name: Guardia
- first_name: Vadim
  full_name: Kaloshin, Vadim
  id: FE553552-CDE8-11E9-B324-C0EBE5697425
  last_name: Kaloshin
  orcid: 0000-0002-6051-2628
- first_name: Jianlu
  full_name: Zhang, Jianlu
  last_name: Zhang
citation:
  ama: Guardia M, Kaloshin V, Zhang J. Asymptotic density of collision orbits in the
    Restricted Circular Planar 3 Body Problem. <i>Archive for Rational Mechanics and
    Analysis</i>. 2019;233(2):799-836. doi:<a href="https://doi.org/10.1007/s00205-019-01368-7">10.1007/s00205-019-01368-7</a>
  apa: Guardia, M., Kaloshin, V., &#38; Zhang, J. (2019). Asymptotic density of collision
    orbits in the Restricted Circular Planar 3 Body Problem. <i>Archive for Rational
    Mechanics and Analysis</i>. Springer Nature. <a href="https://doi.org/10.1007/s00205-019-01368-7">https://doi.org/10.1007/s00205-019-01368-7</a>
  chicago: Guardia, Marcel, Vadim Kaloshin, and Jianlu Zhang. “Asymptotic Density
    of Collision Orbits in the Restricted Circular Planar 3 Body Problem.” <i>Archive
    for Rational Mechanics and Analysis</i>. Springer Nature, 2019. <a href="https://doi.org/10.1007/s00205-019-01368-7">https://doi.org/10.1007/s00205-019-01368-7</a>.
  ieee: M. Guardia, V. Kaloshin, and J. Zhang, “Asymptotic density of collision orbits
    in the Restricted Circular Planar 3 Body Problem,” <i>Archive for Rational Mechanics
    and Analysis</i>, vol. 233, no. 2. Springer Nature, pp. 799–836, 2019.
  ista: Guardia M, Kaloshin V, Zhang J. 2019. Asymptotic density of collision orbits
    in the Restricted Circular Planar 3 Body Problem. Archive for Rational Mechanics
    and Analysis. 233(2), 799–836.
  mla: Guardia, Marcel, et al. “Asymptotic Density of Collision Orbits in the Restricted
    Circular Planar 3 Body Problem.” <i>Archive for Rational Mechanics and Analysis</i>,
    vol. 233, no. 2, Springer Nature, 2019, pp. 799–836, doi:<a href="https://doi.org/10.1007/s00205-019-01368-7">10.1007/s00205-019-01368-7</a>.
  short: M. Guardia, V. Kaloshin, J. Zhang, Archive for Rational Mechanics and Analysis
    233 (2019) 799–836.
date_created: 2020-09-17T10:41:51Z
date_published: 2019-03-12T00:00:00Z
date_updated: 2021-01-12T08:19:09Z
day: '12'
doi: 10.1007/s00205-019-01368-7
extern: '1'
intvolume: '       233'
issue: '2'
keyword:
- Mechanical Engineering
- Mathematics (miscellaneous)
- Analysis
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1007/s00205-019-01368-7
month: '03'
oa: 1
oa_version: Published Version
page: 799-836
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
  issn:
  - 0003-9527
  - 1432-0673
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
status: public
title: Asymptotic density of collision orbits in the Restricted Circular Planar 3
  Body Problem
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 233
year: '2019'
...