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Satellite Orbital Eclipse Duration (Umbra) & Battery Depth-of-Discharge Calculator

Easily calculate and compute satellite orbital eclipse duration (umbra) & battery depth-of-discharge calculator with accurate equations, live formulas, and expert guidance.

LEO spacecraft altitude.

Time for one complete orbit.

Power drawn during shadow.

Total battery storage.

Calculated Result
35.4 min

Max Eclipse

Max Eclipse

35.4 min

Maximum Eclipse Duration Minutes

35.4

Sunlight Duration Minutes

61.1

Battery Depth Of Discharge Do D Pct

39.4

Eclipse Energy Drained Wh

472.3

35.4 — min

Calculation Breakdown

  1. Applied FormulaCalculates maximum spacecraft orbital shadow (umbra) duration and sizing of Li-ion battery Depth-of-Discharge (DoD) to ensure multi-year orbital cycle life.t_{ecl} = \frac{T}{\pi} \arcsin(R_E / a)

Satellite Eclipse Duration & DoD Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.08.8182735Max Eclipse

What Is the Satellite Orbital Eclipse Duration (Umbra) & Battery Depth-of-Discharge Calculator?

This tool computes satellite orbital eclipse duration (umbra) & battery depth-of-discharge calculator with high precision arithmetic.

How Does the Satellite Orbital Eclipse Duration (Umbra) & Battery Depth-of-Discharge Calculator Work?

Calculates maximum spacecraft orbital shadow (umbra) duration and sizing of Li-ion battery Depth-of-Discharge (DoD) to ensure multi-year orbital cycle life.

Satellite Orbital Eclipse Duration (Umbra) & Battery Depth-of-Discharge Calculator Formula & Variables

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

tecl=Tπarcsin⁡(RE/a)t_{ecl} = \frac{T}{\pi} \arcsin(R_E / a)

Calculates maximum spacecraft orbital shadow (umbra) duration and sizing of Li-ion battery Depth-of-Discharge (DoD) to ensure multi-year orbital cycle life.

How to Use the Satellite Orbital Eclipse Duration (Umbra) & Battery Depth-of-Discharge Calculator

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

Step-by-Step Example Calculation

Satellite Orbital Eclipse Duration (Umbra) & Battery Depth-of-Discharge Calculator Example

Input Values:

circularOrbitAltitudeKm:600.0
orbitPeriodMinutes:96.5
spacecraftEclipseElectricalLoadWatts:800.0
batteryNameplateCapacityWattHours:1200.0
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required min.

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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