
ACOS Calculator
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Open toolFind target apparent magnitude relative to a supplied reference flux and magnitude. Provide Target flux, Reference flux, Reference apparent magnitude to compute results directly in your browser. m_target=m_reference-2.5*log10(F_target/F_reference). Positive fluxes in one unit, matching bandpass and calibration; no catalog query or extinction correction. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur. Common search workflows supported include "apparent magnitude calculator".
Enter the inputs, then select Calculate.
Result will appear here
The Apparent Magnitude Calculator evaluates Target flux, Reference flux, Reference apparent magnitude in client-side JavaScript using the deterministic rule below and updates the output panel immediately without uploading data to a server.
Find target apparent magnitude relative to a supplied reference flux and magnitude.
m_target=m_reference-2.5*log10(F_target/F_reference). Positive fluxes in one unit, matching bandpass and calibration; no catalog query or extinction correction. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur.
Review the input parameters, allowed value ranges, and worked reference cases for the Apparent Magnitude Calculator below before running your calculation.
| Parameter / Scenario | Default / Sample Value | Rule or Allowed Range | Output / Usage Note |
|---|---|---|---|
| Input: Target flux | 1 | Range: 1e-09 to 1000000000.0 | Required workspace parameter |
| Input: Reference flux | 10 | Range: 1e-09 to 1000000000.0 | Required workspace parameter |
| Input: Reference apparent magnitude | 2 | Range: -100 to 100 | Required workspace parameter |
| Worked Case 1: Baseline run (Target flux = 1) | Preloaded / test values | Find target apparent magnitude relative to a supplied reference flux and magnitude | Target flux = 1; Reference flux = 10; Reference apparent magnitude = 2. The displayed output is 4.5. |
| Worked Case 2: Comparison scenario (apparent magnitude calculation example) | Preloaded / test values | Find target apparent magnitude relative to a supplied reference flux and magnitude | Target flux = 100; Reference flux = 1; Reference apparent magnitude = 3. The displayed output is -2. |
Follow these three steps to configure Target flux, Reference flux, Reference apparent magnitude, verify unit and boundary rules, and export your Apparent Magnitude Calculator output.
Set reference flux, reference apparent magnitude. Compare positive calibrated fluxes in the same unit and bandpass.
Select Calculate to see the target apparent magnitude relative to the supplied reference. Copy result copies this text; Download saves it as a TXT file.
These concrete scenarios illustrate how the Apparent Magnitude Calculator processes baseline inputs, comparison checks, and boundary constraints.
Target flux = 1; Reference flux = 10; Reference apparent magnitude = 2. The displayed output is 4.5.

Target flux = 100; Reference flux = 1; Reference apparent magnitude = 3. The displayed output is -2.

When solving for 'apparent magnitude calculator', verify that Target flux, Reference flux, Reference apparent magnitude use consistent units and stay within the documented scope: m_target=m_reference-2.5*log10(F_target/F_reference). Positive fluxes in one unit, matching bandpass and calibration; no catalog query or extinction correction. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur.

The output panel reports the exact result derived from Target flux, Reference flux, Reference apparent magnitude alongside any unit or formatting notes.
The result is the target apparent magnitude relative to the supplied reference. Translate a calibrated flux comparison into the astronomical magnitude scale.
The logarithmic scale is relative to your reference magnitude; catalog values and extinction corrections are not fetched.
Numerical output shows up to 12 significant digits. Floating-point arithmetic and display rounding can affect the last digits.

Review these boundary constraints and validation rules before relying on the Apparent Magnitude Calculator output.
Operational scope: m_target=m_reference-2.5*log10(F_target/F_reference). Positive fluxes in one unit, matching bandpass and calibration; no catalog query or extinction correction. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur. Inputs that violate minimum/maximum bounds or required format rules are rejected with a clear diagnostic prompt.
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Open toolAnswers about using Apparent Magnitude Calculator and understanding its results.
The Apparent Magnitude Calculator applies the rule: Find target apparent magnitude relative to a supplied reference flux and magnitude. Enter Target flux, Reference flux, Reference apparent magnitude into the workspace and the tool computes the exact output in your browser.
Yes. Provide Target flux, Reference flux, Reference apparent magnitude using the documented units and format shown in the quick reference table above. Preloaded default values let you test the workflow immediately.
m_target=m_reference-2.5*log10(F_target/F_reference). Positive fluxes in one unit, matching bandpass and calibration; no catalog query or extinction correction. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur. Confirm that your inputs fall within the allowed ranges before exporting the result.
Yes. All calculations for the Apparent Magnitude Calculator execute 100% locally in your browser's JavaScript runtime. No inputs or results are uploaded to any external server.
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