TOT

Astronomy

Telescope Observation Timing Calculator

Estimate exposure cycle, subexposures per usable night, integration per usable night, usable nights required, expected planned integration, and any integration gap.

Exposure cycle including overhead (minutes)-
Usable imaging time per night (minutes)-
Whole subexposures per usable night-
Integration captured per usable night (hours)-
Usable nights required for target-
Expected usable nights in calendar plan-
Expected integration from planned nights (hours)-
Calendar nights implied by weather probability-
Target minus expected integration (hours)-

Decision view

Telescope observation calendar progress

Telescope observation calendar progressWhole subexposures per usable night and weather-adjusted calendar progress reconcile to the target integration.
Exact scenario comparisonPlanned calendar nights changes while all other entered assumptions remain constant.
Planned calendar nightsExposure cycle including overhead (minutes)Usable imaging time per night (minutes)Whole subexposures per usable nightIntegration captured per usable night (hours)Usable nights required for targetExpected usable nights in calendar planExpected integration from planned nights (hours)Calendar nights implied by weather probabilityTarget minus expected integration (hours)

How to use Telescope Observation Timing Calculator

  1. Enter usable target window, subexposure length, overhead, and setup time.
  2. Enter the target integration and weather probability.
  3. Use the calendar/timeline view to see whether the plan reaches the target.

Calculator guide

Understanding Telescope Observation Timing Calculator

Observation timing depends on usable target window, overhead, whole subexposure count, and weather probability; the calendar plan should not hide those pieces.

Calculate exposure cycle Overhead seconds are converted to minutes before adding to the subexposure.
Deduct nightly setup time Only the remaining minutes are available for exposure cycles.
Count whole subexposures and integration The floor function prevents counting a partial exposure.
Translate target into nights The target is divided by usable-night productivity, then adjusted for weather probability.

Calculation method

How the calculation works

Deduct setup and per-exposure overhead from the usable target window, count whole subexposures, and apply weather probability only to calendar-night planning. Convert overhead seconds to minutes, deduct setup time from the nightly window, count whole exposures, then apply weather probability to planned calendar nights.

Detailed calculation process

Translate nightly window and weather into expected integration

The default uses a 5.5 hour target window, 3 minute subexposures, 28 seconds overhead, 45 minutes setup/teardown, a 12 hour integration target, 65% usable-night probability, and 6 calendar nights.

General formula: c = s+o/60W = 60h-qN = floor(W/c)I_n = Ns/60U = T/I_nE_n = d r/100E_I = E_n I_nC = U/(r/100)G = max(T-E_I,0) Each exposure consumes exposure time plus overhead, so only whole cycles fit in the available window. Weather probability is applied to calendar nights after the per-usable-night integration is known.

What each symbol means

h Usable target window per night (hours).
s, o Subexposure duration and overhead (minutes, seconds).
q, W Setup/teardown and usable imaging minutes after setup (minutes).
N, I_n Whole subexposures and integration captured per usable night (count, hours).
T, U, d, r Target integration, usable nights required, planned calendar nights, and usable-night probability (hours, nights, %).
E_n, E_I, C, G Expected usable nights, expected integration, weather-adjusted calendar reference, and integration gap.

Worked substitution with the default inputs

1. Calculate exposure cycle c = 3 + 28/60 = 3.466667 min Overhead seconds are converted to minutes before adding to the subexposure.
2. Deduct nightly setup time W = 5.5 x 60 - 45 = 285 min Only the remaining minutes are available for exposure cycles.
3. Count whole subexposures and integration N = floor(285/3.466667) = 82I_n = 82 x 3/60 = 4.100 h The floor function prevents counting a partial exposure.
4. Translate target into nights U = 12/4.100 = 2.926829 usable nightsC = 2.926829/0.65 = 4.502814 calendar nights The target is divided by usable-night productivity, then adjusted for weather probability.
5. Reconcile planned nights E_n = 6 x 65/100 = 3.9 usable nightsE_I = 3.9 x 4.100 = 15.990 hG = max(12-15.990,0) = 0 h The default six-night plan is expected to exceed the 12 hour target, so the modeled gap is zero.

The default captures 4.100 hours per usable night and expects 15.990 hours across the six-night calendar plan.

Purpose-built visual

Observation calendar progress

A time-based plan shows the nightly exposure blocks and the expected progress toward the integration target.

Live The drawing is regenerated from the current inputs and calculated outputs.
Specific The visual form matches this calculator's math instead of reusing a generic card.
Auditable The labels and plotted values reconcile with the formula and substitution steps.

Worked situations

Practical examples

  • The default uses a 5.5 hour target window, 3 minute subexposures, 28 seconds overhead, 45 minutes setup/teardown, a 12 hour integration target, 65% usable-night probability, and 6 calendar nights.
  • The default captures 4.100 hours per usable night and expects 15.990 hours across the six-night calendar plan.

Better inputs

Useful tips

  • Build one exposure cycle from exposure, readout, dither, filter-change, and other overhead before multiplying by frame count.
  • Use the actual astronomical window after twilight, altitude, moon, and target-visibility constraints rather than the full clock night.
  • Compare required session time with usable window time and leave a weather or reacquisition reserve outside the ideal sequence.

Before relying on the result

Limitations and common mistakes

  • Moon, twilight, target altitude, meridian flips, guiding, autofocus, equipment failure, travel, and target season are not modeled.
  • Weather is treated as one average usable-night probability.
  • Only whole subexposures are counted.

Reference

Key terms

Exposure cycle
One subexposure plus its overhead.
Usable night
A night that satisfies the entered weather and observing assumptions.
Integration gap
Target hours not expected to be captured by the planned calendar nights.

Important note

Calculated from the entered values using the displayed astronomical model. Use current ephemerides and qualified references for observation or mission decisions.

Frequently asked questions

Why use floor for subexposures?

A partial exposure cycle cannot be captured as a complete subexposure.

Does weather reduce every night equally?

It is an average planning probability, not a forecast for specific dates.

Why can expected integration exceed the target?

The plan uses whole nights, so the expected total can overshoot.

Is setup time applied per exposure?

No. Setup and teardown are entered once per night.