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Hohmann Transfer Delta-V & Time of Flight Calculator

Easily calculate and compute hohmann transfer delta-v & time of flight calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
3.89 km/s

Total Transfer Delta-V (Δv_tot)

Total Transfer Delta-V (Δv_tot)

3.89 km/s

Injection Burn Delta V1 Km S

2.426

Circularization Burn Delta V2 Km S

1.467

Time Of Flight Hours

5.28

Initial Orbit Speed Km S

7.726

3.89 — km/s

Calculation Breakdown

  1. Applied FormulaDetermines the fuel-optimal two-impulse Hohmann transfer trajectory between two coplanar circular orbits, computing injection burn Δv1, circularization burn Δv2, and transfer duration.\Delta v_1 = \sqrt{\frac{\mu}{r_1}} \left( \sqrt{\frac{2 r_2}{r_1 + r_2}} - 1 \right), \quad t_{\text{tof}} = \pi \sqrt{\frac{(r_1 + r_2)^3}{8 \mu}}

Hohmann Transfer Orbit Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.01.01.92.93.9Total Transfer Delta-V (Δv_tot)

What Is the Hohmann Transfer Delta-V & Time of Flight Calculator?

This tool computes hohmann transfer delta-v & time of flight calculator with high precision arithmetic.

How Does the Hohmann Transfer Delta-V & Time of Flight Calculator Work?

Determines the fuel-optimal two-impulse Hohmann transfer trajectory between two coplanar circular orbits, computing injection burn Δv1, circularization burn Δv2, and transfer duration.

Hohmann Transfer Delta-V & Time of Flight Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Δv1=μr1(2r2r1+r2−1),ttof=π(r1+r2)38μ\Delta v_1 = \sqrt{\frac{\mu}{r_1}} \left( \sqrt{\frac{2 r_2}{r_1 + r_2}} - 1 \right), \quad t_{\text{tof}} = \pi \sqrt{\frac{(r_1 + r_2)^3}{8 \mu}}

Determines the fuel-optimal two-impulse Hohmann transfer trajectory between two coplanar circular orbits, computing injection burn Δv1, circularization burn Δv2, and transfer duration.

How to Use the Hohmann Transfer Delta-V & Time of Flight Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Hohmann Transfer Delta-V & Time of Flight Calculator Example

Input Values:

initialRadiusR1Km:6678
finalRadiusR2Km:42164
gravitationalParamMu:398600.44
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required km/s.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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