Introduction to Interplanetary Travel <br/>— Pocket Edition

The main part of space travel within our Solar system consists of following an orbit determined, to a good approximation, by Sun’s gravity only. In this article, we introduce a new technique for dealing with the resulting Keplerian motion, both elliptical and hyperbolic. This new method provides a simple way to establish parameters of the ensuing trajectory and compute the location and velocity of a spacecraft at any future time. Another essential feature of such travel, when visiting several planets in a single mission, is the utilization of each planet’s gravity to increase and re-direct a spacecraft’s velocity to enable it to reach the next, more distant planet. We derive and demonstrate all the relevant formulas required to understand the basic principles of designing such an interplanetary journey.

Authors

Institutions

Publication Details

Journal
Applied Mathematics
Published
2025-01-01
DOI
https://doi.org/10.4236/am.2025.167028
Primary Topic
Historical Geography and Cartography
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Introduction to Interplanetary Travel <br/>&#8212; Pocket Edition

Jan Vrbik
Applied Mathematics
Historical Geography and Cartography
article

Introduction to Interplanetary Travel <br/>&#8212; Pocket Edition

Jan Vrbik
article en

Abstract

The main part of space travel within our Solar system consists of following an orbit determined, to a good approximation, by Sun’s gravity only. In this article, we introduce a new technique for dealing with the resulting Keplerian motion, both elliptical and hyperbolic. This new method provides a simple way to establish parameters of the ensuing trajectory and compute the location and velocity of a spacecraft at any future time. Another essential feature of such travel, when visiting several planets in a single mission, is the utilization of each planet’s gravity to increase and re-direct a spacecraft’s velocity to enable it to reach the next, more distant planet. We derive and demonstrate all the relevant formulas required to understand the basic principles of designing such an interplanetary journey.

Applied MathematicsVol. 16(07)
Brock University (CA)
Openalex Percentile: Top 79%
Historical Geography and Cartography
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.