{"id":"vidhyamitra:city-day:dwarka:-3111-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/dwarka/-3111-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3111-12-15","date_display":"December 15, 3112 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3111,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":585113.770833,"kali_year":-9,"ahargana":-3351.7292,"sun":{"sidereal_longitude":298.0843,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":112.6022,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":174.5179,"elapsed_within_tithi_degrees":6.5179},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":112.6022,"elapsed_within_degrees":5.9356},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":50.6865},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":-3111,"month":12,"day":15,"hour":6,"minute":30,"calendar":"julian"},"julian_day":585113.770833,"ahargana":-3351.7292,"kali_year":-9,"ayanamsa_lahiri":-47.531,"grahas":{"sun":{"sidereal_longitude":298.0843,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":112.6022,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2},"retrograde":false,"latitude":4.0773},"mars":{"sidereal_longitude":15.8315,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":300.2302,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":79.9302,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":334.7977,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":250.7273,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":357.5907,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":177.5907,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3111,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":585113.770833,"kali_year":-9,"ahargana":-3351.7292,"sun":{"sidereal_longitude":298.0843,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":112.6022,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":174.5179,"elapsed_within_tithi_degrees":6.5179},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":112.6022,"elapsed_within_degrees":5.9356},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":50.6865},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.077,"elongation":174.518},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.077,"opposition_distance":5.482}},"eclipse_window_40days":[]},"city":{"slug":"dwarka","name":"Dvārakā","lat":22.2393,"lon":68.9686,"tz_offset_hours":5.5,"state":"Gujarat","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"dwarka","name":"Dvārakā","lat":22.2393,"lon":68.9686,"tz_offset_hours":5.5,"state":"Gujarat","country":"IN","tier":"tirtha"},"sunriseLocal":"07:24","sunsetLocal":"18:16","solarNoonLocal":"12:50","dayLengthHours":10.86145651192014,"dayLengthDisplay":"10 Hours 51 Mins 41 Secs","nightLengthDisplay":"13 Hours 08 Mins 19 Secs","moonriseLocal":"17:49","moonsetLocal":"07:07","rahuKala":{"name":"Rāhu Kāla","start":"10:07","end":"11:28","startHours":10.11709695479376,"endHours":11.474779018783778,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:11","end":"15:33","startHours":14.190143146763813,"endHours":15.547825210753832,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:24","end":"08:46","startHours":7.401732826813726,"endHours":8.759414890803743,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:56","end":"10:18","startHours":9.936072679595092,"endHours":10.29812122999243,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:51","end":"08:09","startHours":7.854293514810398,"endHours":8.143932355128268,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:28","end":"13:12","startHours":12.470412532376459,"endHours":13.194509633171135,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:57","end":"06:41","startHours":5.953538625224374,"endHours":6.67763572601905,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:30","end":"07:24","startHours":6.496611450820381,"endHours":7.401732826813726,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:22","startHours":14.642703834760486,"endHours":15.366800935555162,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:04","end":"18:28","startHours":18.063189338733867,"endHours":18.463189338733866,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:16","end":"18:43","startHours":18.263189338733866,"endHours":18.71575002673054,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:01","end":"19:46","startHours":18.013189338733866,"endHours":19.763189338733866,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:28","end":"01:12","startHours":24.47041253237646,"endHours":25.194509633171133,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:24","end":"08:46","startHours":7.401732826813726,"endHours":8.759414890803743,"quality":"inauspicious"},{"name":"Śubha","start":"08:46","end":"10:07","startHours":8.759414890803743,"endHours":10.11709695479376,"quality":"auspicious"},{"name":"Roga","start":"10:07","end":"11:28","startHours":10.11709695479376,"endHours":11.474779018783778,"quality":"inauspicious"},{"name":"Udveg","start":"11:28","end":"12:50","startHours":11.474779018783778,"endHours":12.832461082773797,"quality":"inauspicious"},{"name":"Chala","start":"12:50","end":"14:11","startHours":12.832461082773797,"endHours":14.190143146763813,"quality":"neutral"},{"name":"Labha","start":"14:11","end":"15:33","startHours":14.190143146763813,"endHours":15.547825210753832,"quality":"auspicious"},{"name":"Amṛta","start":"15:33","end":"16:54","startHours":15.547825210753832,"endHours":16.905507274743847,"quality":"auspicious"},{"name":"Kāla","start":"16:54","end":"18:16","startHours":16.905507274743847,"endHours":18.263189338733866,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:16","end":"19:54","startHours":18.263189338733866,"endHours":19.905507274743847,"quality":"auspicious"},{"name":"Amṛta","start":"19:54","end":"21:33","startHours":19.905507274743847,"endHours":21.54782521075383,"quality":"auspicious"},{"name":"Kāla","start":"21:33","end":"23:11","startHours":21.54782521075383,"endHours":23.190143146763813,"quality":"inauspicious"},{"name":"Śubha","start":"23:11","end":"00:50","startHours":23.190143146763813,"endHours":24.832461082773797,"quality":"auspicious"},{"name":"Roga","start":"00:50","end":"02:28","startHours":24.832461082773797,"endHours":26.474779018783778,"quality":"inauspicious"},{"name":"Udveg","start":"02:28","end":"04:07","startHours":26.474779018783778,"endHours":28.11709695479376,"quality":"inauspicious"},{"name":"Chala","start":"04:07","end":"05:46","startHours":28.11709695479376,"endHours":29.759414890803743,"quality":"neutral"},{"name":"Labha","start":"05:46","end":"07:24","startHours":29.759414890803743,"endHours":31.401732826813728,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:24","end":"08:24","startHours":7.401732826813726,"endHours":8.401732826813726,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:24","end":"09:24","startHours":8.401732826813726,"endHours":9.401732826813726,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:24","end":"10:24","startHours":9.401732826813726,"endHours":10.401732826813726,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:24","end":"11:24","startHours":10.401732826813726,"endHours":11.401732826813726,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:24","end":"12:24","startHours":11.401732826813726,"endHours":12.401732826813726,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:24","end":"13:24","startHours":12.401732826813726,"endHours":13.401732826813726,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:24","end":"14:24","startHours":13.401732826813726,"endHours":14.401732826813726,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:24","end":"15:24","startHours":14.401732826813726,"endHours":15.401732826813726,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:24","end":"16:24","startHours":15.401732826813726,"endHours":16.401732826813728,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:24","end":"17:24","startHours":16.401732826813728,"endHours":17.401732826813728,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:24","end":"18:24","startHours":17.401732826813728,"endHours":18.401732826813728,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:24","end":"19:24","startHours":18.401732826813728,"endHours":19.401732826813728,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:24","end":"20:24","startHours":19.401732826813728,"endHours":20.401732826813728,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:24","end":"21:24","startHours":20.401732826813728,"endHours":21.401732826813728,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:24","end":"22:24","startHours":21.401732826813728,"endHours":22.401732826813728,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:24","end":"23:24","startHours":22.401732826813728,"endHours":23.401732826813728,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:24","end":"00:24","startHours":23.401732826813728,"endHours":24.401732826813728,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:24","end":"01:24","startHours":24.401732826813728,"endHours":25.401732826813728,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:24","end":"02:24","startHours":25.401732826813728,"endHours":26.401732826813728,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:24","end":"03:24","startHours":26.401732826813728,"endHours":27.401732826813728,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:24","end":"04:24","startHours":27.401732826813728,"endHours":28.401732826813728,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:24","end":"05:24","startHours":28.401732826813728,"endHours":29.401732826813728,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:24","end":"06:24","startHours":29.401732826813728,"endHours":30.401732826813728,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:24","end":"07:24","startHours":30.401732826813728,"endHours":31.401732826813728,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.02693744512114,"eotMinutes":4.177935033572184,"ayanamsa":-47.531}},"calendars":{"vikram_samvat":-3054,"saka_samvat":-3189,"bengali_samvat":-3704,"malayalam_era":-3935,"nanakshahi_year":-4580,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Pūrṇimā · Vikram -3054 undefined · Śaka -3189 undefined"},"festivals":[{"id":"magha-purnima","name":"Māghī Pūrṇimā","name_sanskrit":"माघी पूर्णिमा","tradition":"Pan-Hindu","significance":"Sacred snāna at Prayāga; Māgha-snāna culmination.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Māgha"},"precedence":2}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Dedicated festival walk for Māghī Pūrṇimā is not live yet; Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"dwarka"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 15, 3112 BCE · Dvārakā · Vidhyamitra","description":"December 15, 3112 BCE for Dvārakā: Śukla Pūrṇimā, sūryodaya 07:24, sūryāsta 18:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/dwarka/-3111-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/dwarka/-3111-12-15","sa":"https://sa.vidhyamitra.com/city/dwarka/-3111-12-15","hi":"https://hi.vidhyamitra.com/city/dwarka/-3111-12-15","x-default":"https://vidhyamitra.com/city/dwarka/-3111-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-07T17:31:24.071Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-09-07T17:31:24.071Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-07T17:31:24.072Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}