{"id":"vidhyamitra:day:-3129-12-18:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/-3129-12-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3129-12-18","date_display":"December 18, 3130 BCE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3129,"month":12,"day":18,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":578541.770833,"kali_year":-27,"ahargana":-9923.7292,"sun":{"sidereal_longitude":300.7862,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":285.793,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":345.0069,"elapsed_within_tithi_degrees":9.0069},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":285.793,"elapsed_within_degrees":5.793},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":226.5792},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":-3129,"month":12,"day":18,"hour":6,"minute":30,"calendar":"julian"},"julian_day":578541.770833,"ahargana":-9923.7292,"kali_year":-27,"ayanamsa_lahiri":-47.7824,"grahas":{"sun":{"sidereal_longitude":300.7862,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":285.793,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false,"latitude":-3.8967},"mars":{"sidereal_longitude":225.8972,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":313.8723,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":257.6647,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":300.5119,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":16.7265,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":345.8069,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":165.8069,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3129,"month":12,"day":18,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":578541.770833,"kali_year":-27,"ahargana":-9923.7292,"sun":{"sidereal_longitude":300.7862,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":285.793,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":345.0069,"elapsed_within_tithi_degrees":9.0069},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":285.793,"elapsed_within_degrees":5.793},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":226.5792},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.897,"elongation":14.993},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.897,"opposition_distance":165.007}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":-3072,"saka_samvat":-3207,"bengali_samvat":-3722,"malayalam_era":-3953,"nanakshahi_year":-4598,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Phālguna","lunar_month_amanta":"Phālguna","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Kṛṣṇa Caturdaśī · Vikram -3072 undefined · Śaka -3207 undefined"},"festivals":[{"id":"maha-shivaratri","name":"Mahā Śivarātri","name_sanskrit":"महा शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"The greatest night of Lord Śiva; cosmic dance of dissolution.","vrata":true,"primary_observance":"Strict fast + night-long vigil + 4-yāma pūjā","detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa","lunar_month":"Phālguna"},"precedence":1},{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"maha-shivaratri-walk","name":"Mahā Śivarātri Walk","name_sanskrit":"महा शिवरात्रि यात्रा","type":"festival","description":"Śiva-stuti through Bhāgavata + Mahābhārata Anuśāsana.","step_count":12,"url":"/walk/maha-shivaratri-walk"},"reason":"Today is Mahā Śivarātri — its dedicated walk."},"cosmic_resonances":[]},"validity":{"eternal":true},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga December 18, 3130 BCE · Vidhyamitra","description":"Vedic pañchāṅga for December 18, 3130 BCE: Kṛṣṇa Caturdaśī · Śravaṇa.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/-3129-12-18","hreflang_alternates":{"en":"https://vidhyamitra.com/day/-3129-12-18","sa":"https://sa.vidhyamitra.com/day/-3129-12-18","hi":"https://hi.vidhyamitra.com/day/-3129-12-18","x-default":"https://vidhyamitra.com/day/-3129-12-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-05T07:13:34.462Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-05T07:13:34.462Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}