{"id":"vidhyamitra:city-day:pushkar:-3137-12-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/pushkar/-3137-12-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3137-12-31","date_display":"December 31, 3138 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":-3137,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575632.770833,"kali_year":-35,"ahargana":-12832.7292,"sun":{"sidereal_longitude":314.0161,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":109.2559,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":155.2398,"elapsed_within_tithi_degrees":11.2398},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":109.2559,"elapsed_within_degrees":2.5892},"yoga":{"number":5,"name":"Śobhana","sum_longitude":63.272},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":-3137,"month":12,"day":31,"hour":6,"minute":30,"calendar":"julian"},"julian_day":575632.770833,"ahargana":-12832.7292,"kali_year":-35,"ayanamsa_lahiri":-47.8936,"grahas":{"sun":{"sidereal_longitude":314.0161,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":109.2559,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"retrograde":false,"latitude":-2.2946},"mars":{"sidereal_longitude":100.9362,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":328.3937,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":7.1555,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":316.3057,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":286.2522,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":139.9397,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":319.9397,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"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":-3137,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575632.770833,"kali_year":-35,"ahargana":-12832.7292,"sun":{"sidereal_longitude":314.0161,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":109.2559,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":155.2398,"elapsed_within_tithi_degrees":11.2398},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":109.2559,"elapsed_within_degrees":2.5892},"yoga":{"number":5,"name":"Śobhana","sum_longitude":63.272},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.295,"elongation":155.24},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.295,"opposition_distance":24.76}},"eclipse_window_40days":[{"offset_days":-13,"type":"solar","occurs":true,"moon_latitude":1.379,"elongation":1.905},{"offset_days":2,"type":"lunar","occurs":true,"moon_latitude":-0.42,"opposition_distance":1.553}]},"city":{"slug":"pushkar","name":"Puṣkar","lat":26.49,"lon":74.55,"tz_offset_hours":5.5,"state":"Rajasthan","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"pushkar","name":"Puṣkar","lat":26.49,"lon":74.55,"tz_offset_hours":5.5,"state":"Rajasthan","country":"IN","tier":"tirtha"},"sunriseLocal":"07:21","sunsetLocal":"17:49","solarNoonLocal":"12:35","dayLengthHours":10.479240538659859,"dayLengthDisplay":"10 Hours 28 Mins 45 Secs","nightLengthDisplay":"13 Hours 31 Mins 15 Secs","moonriseLocal":"16:10","moonsetLocal":"05:42","rahuKala":{"name":"Rāhu Kāla","start":"12:35","end":"13:54","startHours":12.584270582063422,"endHours":13.894175649395905,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:39","end":"09:58","startHours":8.654555380065975,"endHours":9.964460447398457,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:16","end":"12:35","startHours":11.274365514730938,"endHours":12.584270582063422,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:47","end":"10:08","startHours":9.789806438420793,"endHours":10.13911445637612,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:47","end":"08:04","startHours":7.781285335177653,"endHours":8.060731749541915,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:14","end":"12:56","startHours":12.234962564108093,"endHours":12.93357860001875,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:57","end":"06:39","startHours":5.947418240912178,"endHours":6.646034276822835,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:28","end":"07:21","startHours":6.471380267845171,"endHours":7.344650312733492,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:20","end":"15:02","startHours":14.330810671840064,"endHours":15.029426707750721,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:37","end":"18:01","startHours":17.62389085139335,"endHours":18.02389085139335,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:49","end":"18:16","startHours":17.82389085139335,"endHours":18.260525873837512,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:34","end":"19:19","startHours":17.57389085139335,"endHours":19.32389085139335,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:14","end":"00:56","startHours":24.23496256410809,"endHours":24.933578600018752,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:21","end":"08:39","startHours":7.344650312733492,"endHours":8.654555380065975,"quality":"auspicious"},{"name":"Amṛta","start":"08:39","end":"09:58","startHours":8.654555380065975,"endHours":9.964460447398457,"quality":"auspicious"},{"name":"Kāla","start":"09:58","end":"11:16","startHours":9.964460447398457,"endHours":11.274365514730938,"quality":"inauspicious"},{"name":"Śubha","start":"11:16","end":"12:35","startHours":11.274365514730938,"endHours":12.584270582063422,"quality":"auspicious"},{"name":"Roga","start":"12:35","end":"13:54","startHours":12.584270582063422,"endHours":13.894175649395905,"quality":"inauspicious"},{"name":"Udveg","start":"13:54","end":"15:12","startHours":13.894175649395905,"endHours":15.204080716728386,"quality":"inauspicious"},{"name":"Chala","start":"15:12","end":"16:31","startHours":15.204080716728386,"endHours":16.513985784060868,"quality":"neutral"},{"name":"Labha","start":"16:31","end":"17:49","startHours":16.513985784060868,"endHours":17.82389085139335,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:49","end":"19:31","startHours":17.82389085139335,"endHours":19.513985784060868,"quality":"inauspicious"},{"name":"Chala","start":"19:31","end":"21:12","startHours":19.513985784060868,"endHours":21.204080716728384,"quality":"neutral"},{"name":"Labha","start":"21:12","end":"22:54","startHours":21.204080716728384,"endHours":22.894175649395905,"quality":"auspicious"},{"name":"Amṛta","start":"22:54","end":"00:35","startHours":22.894175649395905,"endHours":24.58427058206342,"quality":"auspicious"},{"name":"Kāla","start":"00:35","end":"02:16","startHours":24.58427058206342,"endHours":26.27436551473094,"quality":"inauspicious"},{"name":"Śubha","start":"02:16","end":"03:58","startHours":26.27436551473094,"endHours":27.96446044739846,"quality":"auspicious"},{"name":"Roga","start":"03:58","end":"05:39","startHours":27.96446044739846,"endHours":29.654555380065975,"quality":"inauspicious"},{"name":"Udveg","start":"05:39","end":"07:21","startHours":29.654555380065975,"endHours":31.344650312733492,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:21","end":"08:21","startHours":7.344650312733492,"endHours":8.344650312733492,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:21","end":"09:21","startHours":8.344650312733492,"endHours":9.344650312733492,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:21","end":"10:21","startHours":9.344650312733492,"endHours":10.344650312733492,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:21","end":"11:21","startHours":10.344650312733492,"endHours":11.344650312733492,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:21","end":"12:21","startHours":11.344650312733492,"endHours":12.344650312733492,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:21","end":"13:21","startHours":12.344650312733492,"endHours":13.344650312733492,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:21","end":"14:21","startHours":13.344650312733492,"endHours":14.344650312733492,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:21","end":"15:21","startHours":14.344650312733492,"endHours":15.344650312733492,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:21","end":"16:21","startHours":15.344650312733492,"endHours":16.344650312733492,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:21","end":"17:21","startHours":16.344650312733492,"endHours":17.344650312733492,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:21","end":"18:21","startHours":17.344650312733492,"endHours":18.344650312733492,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:21","end":"19:21","startHours":18.344650312733492,"endHours":19.344650312733492,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:21","end":"20:21","startHours":19.344650312733492,"endHours":20.344650312733492,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:21","end":"21:21","startHours":20.344650312733492,"endHours":21.344650312733492,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:21","end":"22:21","startHours":21.344650312733492,"endHours":22.344650312733492,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:21","end":"23:21","startHours":22.344650312733492,"endHours":23.344650312733492,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:21","end":"00:21","startHours":23.344650312733492,"endHours":24.344650312733492,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:21","end":"01:21","startHours":24.344650312733492,"endHours":25.344650312733492,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:21","end":"02:21","startHours":25.344650312733492,"endHours":26.344650312733492,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:21","end":"03:21","startHours":26.344650312733492,"endHours":27.344650312733492,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:21","end":"04:21","startHours":27.344650312733492,"endHours":28.344650312733492,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:21","end":"05:21","startHours":28.344650312733492,"endHours":29.344650312733492,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:21","end":"06:21","startHours":29.344650312733492,"endHours":30.344650312733492,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:21","end":"07:21","startHours":30.344650312733492,"endHours":31.344650312733492,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Śiśira (Winter)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.379657103152706,"eotMinutes":-3.2562349238053434,"ayanamsa":-47.8936}},"calendars":{"vikram_samvat":-3080,"saka_samvat":-3215,"bengali_samvat":-3730,"malayalam_era":-3961,"nanakshahi_year":-4606,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Śukla Pakṣa","solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Śukla Trayodaśī · Vikram -3080 undefined · Śaka -3215 undefined"},"festivals":[{"id":"kumbha-sankranti","name":"Kumbha Saṅkrānti","name_sanskrit":"कुम्भ सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aquarius; Kumbha-māsa begins.","vrata":false,"detection":{"sun_rashi":"Kumbha"},"precedence":5},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"pushkar"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 31, 3138 BCE · Puṣkar · Vidhyamitra","description":"December 31, 3138 BCE for Puṣkar: Śukla Trayodaśī, sūryodaya 07:21, sūryāsta 17:49.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/pushkar/-3137-12-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/pushkar/-3137-12-31","sa":"https://sa.vidhyamitra.com/city/pushkar/-3137-12-31","hi":"https://hi.vidhyamitra.com/city/pushkar/-3137-12-31","x-default":"https://vidhyamitra.com/city/pushkar/-3137-12-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T14:13:58.978Z","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":"2026-05-15T14:13:58.978Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T14:13:58.978Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}