Telescope Magnification From Focal Lengths

Ideal visual telescope angular magnification from focal-length ratio, no usable-image or seeing guarantee. Model only, not an ephemeris, measured stellar identity or observational guarantee.

Description

Telescope magnification compares the telescope and eyepiece focal lengths.

Telescope magnification compares the telescope and eyepiece focal lengths.1

Accessories and effective focal-length changes must already be reflected in the supplied values. Use Telescope Magnification From Focal Lengths to evaluate the supplied inputs under the model explained below.

When to use Telescope Magnification From Focal Lengths

Use Telescope Magnification From Focal Lengths to evaluate the supplied inputs under the model explained below. Establish the units, measurement scope and model assumptions before entering values.

How to use Telescope Magnification From Focal Lengths and understand its results

  1. Establish the units, measurement scope and model assumptions before entering values.
  2. Enter Telescope focal mm, Eyepiece focal mm using the field table and validation rules below, then run the tool.
  3. Read Angular magnification; interpret the units, signs, ordering and unknown-value placeholders described below.
  4. Correct reported input errors and rerun. Apply successful results according to their specific meanings and check the assumptions before using them in a decision.
Input fieldMeaningValue typeRequirement
telescopeFocalMmTelescope focal mmnumberRequired; constraints below
eyepieceFocalMmEyepiece focal mmnumberRequired; constraints below

Enter positive telescope and eyepiece focal lengths in mm. Divide the former by the latter for dimensionless angular magnification. No Barlow factor or optical performance is inferred.

magnification=telescopeFocalMm/eyepieceFocalMm

Use the field order, units and branch conditions described above.

Output fieldMeaningValue type
angularMagnificationAngular magnificationnumber
json
{
  "input": {
    "telescopeFocalMm": 1000,
    "eyepieceFocalMm": 20
  },
  "output": {
    "angularMagnification": 50
  }
}

Limitations and assumptions

Accessories and effective focal-length changes must already be reflected in the supplied values. Apply the exact scope and assumptions explained above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse arrays fail validation. Domain-specific bounds, alignments and supported tokens are explained above; extremely large inputs or outputs can also be rejected. Input errors differ from successful false results, empty match lists and unknown-evidence placeholders.

Alternative or Complementary methods

Use Barlow Effective Focal Length for a related task: A Barlow changes effective focal length according to its matched gain.

Use Plate Scale arcsec per Pixel CCD Calculator for a related task: Pixel pitch and focal length determine a small-angle plate scale.

References

  1. Telescope Magnification From Focal Lengths — tool.io

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