Ecliptic to Equatorial Coordinate Converter
Convert a direction’s ecliptic longitude/latitude to right ascension and declination using an entered obliquity.
YOUR CALCULATION
Result
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Calculation steps
Work through one step at a time or reveal the complete calculation. The steps use your current inputs.
How to calculate
Apply a three-dimensional orthogonal rotation and derive right ascension from atan2 and declination from vector elevation.
Rotate the ecliptic direction vector about the shared x axis by the entered obliquity
Worked example
Ecliptic longitude90°,latitude0° map to right ascension6 h and declination equal to obliquity.
Assumptions and input details
Both frames must share an equinox/reference epoch supplied externally. Fixed rotation only, no precession, nutation, aberration, refraction or current ephemeris. Right ascension is undefined at an equatorial pole.
Using this calculator
Can I enter my own problem?
Yes. Replace the example values with your own inputs. The result, calculation steps, tables and applicable diagrams update from those inputs. Blank or invalid values clear the result; example values are never silently substituted for missing inputs.
Are the results exact?
Results use floating-point arithmetic and displayed rounding. Read the formula, assumptions and any stated data precision before interpreting the result.
Is my input uploaded?
The calculation runs in your browser. No account, file upload or external AI service is required. Inputs are not saved between page reloads.
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