● Numji Astrology Engine Validation Report

Professional-Precision Solar Return Calculation

The Solar Return calculation infrastructure of the Numji Astrology Engine was compared against Swiss Ephemeris references across 500 test cases spanning the 1900–2100 period, generated from diverse birth and return locations. A total of 27,862 results were examined, ranging from the exact Solar Return moment to planetary positions, houses, and Solar Return–Natal aspects.

Validation Completed · Failed: 0
500Distinct test cases
27,862Separate comparisons
100%Professional acceptance pass rate
0Failed results
✓
The mathematical foundation of the annual chart has been validated
The exact Solar Return moment, planets at the return moment, houses, axes, house placements, and aspects formed with the natal chart passed the established professional acceptance thresholds across all cases within the test scope.

Validated Solar Return calculations

The primary result groups forming the astronomical, geometric, and relational foundation of the annual chart.

EXACT SOLAR RETURN MOMENT

The exact UTC and local return moment when the transiting Sun returns to the natal Sun's exact longitude was validated against the Swiss reference for both timing and longitude.

PLANETS AND MOTION DIRECTIONS

The longitudes of the Sun, Moon, and planets at the return moment, along with their retrograde/direct motion states, were cross-checked.

AXES, HOUSES, AND PLACEMENTS

ASC, MC, the twelve house cusps, and the placements of planets in Solar Return houses were validated across different locations and house systems.

SOLAR RETURN–NATAL ASPECTS

Major aspects and orb values between the planets in the return chart and natal planets were independently compared.

Validation results

Success distribution of calculation groups according to the Swiss Ephemeris reference.

Calculation GroupComparisonCompatibleFailedResult
Exact Solar Return moment and Sun equality1,0001,0000Passed
Planet positions5,0005,0000Passed
Retrograde/direct motion states5,0005,0000Passed
Planetary house placements5,0005,0000Passed
ASC and MC1,0001,0000Passed
Twelve house cusps6,0006,0000Passed
Solar Return–Natal aspects4,8624,8620Passed

Highlighted precision results

Comparison of average and maximum differences observed in the test set against professional acceptance thresholds.

MeasurementAverage DifferenceMaximum DifferenceAcceptance LimitResult
Exact Solar Return moment29 seconds79 seconds15 minutesPassed
Planet positions0.00143°0.01984°Moon 0.02° · Others 0.01°Passed
ASC, MC, and house cusps0.00236°0.02324°0.05°Passed
Solar Return–Natal aspect orbs0.00173°0.01970°0.02°Passed
Retrograde/direct motion states and house placementsExact matchExact matchOne-to-one statusPassed

Test methodology

The goal was to ensure that results rely on broad time and calculation diversity rather than a single birth or return location.

SCOPE

  • Date range: 1900–2100
  • 500 distinct Solar Return cases
  • A wide range of birth and return locations
  • Total of 27,862 comparisons

TIME AND LOCATION

  • Historical time zone and daylight saving time applications
  • Return locations different from the birth place
  • Local time offset at the exact return moment
  • Northern and Southern hemisphere samples

HOUSE SYSTEMS

Placidus, Equal, Whole Sign, and Porphyry house systems were included in the test scope, checking axes, house cusps, and planetary placements together.

INDEPENDENT ENGINE

Swiss Ephemeris was used strictly as a comparison reference. Numji's production calculations are executed within its own independent astrology engine without depending on the validation tool or Swiss runtime files.

What does this result mean for the astrologer?

The exact return moment, planetary degrees, houses, axes, house placements, and natal contacts upon which Solar Return interpretation relies are delivered through a calculation infrastructure backed by an extensive validation set. This allows astrologers to focus on the holistic interpretation of the annual chart rather than technical computations.