#3409 · Science & Engineering Tool

Telescope Resolution Fuel Requirement Calculator

Estimate propellant needed for a space-telescope maneuver budget using the ideal rocket equation. Dry observatory mass, station-keeping delta-v, specific impulse, mission years, and reserve are kept explicit so propulsion growth can be compared with optical and instrument mass allocations.

Calculator

Mission inputs
kg
m/s/year
years
s
%

How to use this calculator

  1. Enter the mission or instrument values in their stated units.
  2. Adjust margin, efficiency, or reserve assumptions to match the study case.
  3. Select Calculate to update the primary and supporting results.
  4. Compare the result with your requirement and document every assumption.

Formula

Lifetime delta-v = annual delta-v × mission years. Ideal propellant = dry mass × [exp(delta-v ÷ (Isp × g₀)) − 1]. Loaded propellant includes the selected reserve.

What the result means

Treat the main result as an engineering estimate based on the stated inputs. Compare it with the applicable mission requirement and retain enough traceability to update the result when assumptions change.

This calculator supports early trade studies and does not replace mission-specific simulation, environmental analysis, or professional engineering review.

Example calculation

A 6,500 kg telescope needing 4 m/s per year for 10 years with 220 s Isp requires about 121.6 kg ideally. A 20% reserve raises the load to about 145.9 kg.

Tips for better results

  • Keep best-case and worst-case scenarios as separate runs.
  • Use consistent beginning-of-life or end-of-life assumptions.
  • Confirm units before copying values from another model.
  • Include only allowances that are not already embedded in an input.
  • Revisit the estimate when hardware or mission modes change.

Frequently asked questions

What assumptions does the Telescope Resolution Fuel Requirement Calculator use?

It uses the values shown in the input panel and the formula stated on this page. It does not add hidden operational or environmental allowances.

Can I enter decimal values?

Yes. Decimal values are accepted within each field’s displayed range, and calculations retain precision until the result is formatted.

How should I choose the margin or reserve input?

Use a value justified by your project’s maturity, uncertainty policy, and verification plan rather than treating the default as a universal recommendation.

Does this result replace a detailed engineering model?

No. It is a first-pass estimate for trade studies. Verify the design with subsystem models, test data, and mission-specific constraints.

What happens if an input is zero?

Zero is accepted where it represents a physically meaningful absence of load, loss, background, duty, or maneuver demand. Inputs used as divisors must remain above zero.

Variables and units

ItemUse
Primary inputsEnter values in the units printed beside each field.
Margin or reserveApplied only where stated in the formula.
Displayed resultRounded for readability; internal math keeps full precision.

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