{"id":"vidhyamitra:city-day:pushkar:-3101-01-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/pushkar/-3101-01-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3101-01-05","date_display":"January 5, 3102 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":-3101,"month":1,"day":5,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":588421.770833,"kali_year":0,"ahargana":-43.7292,"sun":{"sidereal_longitude":318.9929,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":138.9591,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":179.9663,"elapsed_within_tithi_degrees":11.9663},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2,"moon_longitude":138.9591,"elapsed_within_degrees":5.6258},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":97.952},"karana":{"half_tithi_index":29,"name":"Bava"},"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":-3101,"month":1,"day":5,"hour":6,"minute":30,"calendar":"julian"},"julian_day":588421.770833,"ahargana":-43.7292,"kali_year":0,"ayanamsa_lahiri":-47.4045,"grahas":{"sun":{"sidereal_longitude":318.9929,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":138.9591,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false,"latitude":-3.0878},"mars":{"sidereal_longitude":331.8941,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":291.9807,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":351.1885,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":306.4624,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":347.0796,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":182.317,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":2.317,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"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":-3101,"month":1,"day":5,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":588421.770833,"kali_year":0,"ahargana":-43.7292,"sun":{"sidereal_longitude":318.9929,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":138.9591,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":179.9663,"elapsed_within_tithi_degrees":11.9663},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2,"moon_longitude":138.9591,"elapsed_within_degrees":5.6258},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":97.952},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.088,"elongation":179.966},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.088,"opposition_distance":0.034}},"eclipse_window_40days":[]},"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":"07:23","sunsetLocal":"17:52","solarNoonLocal":"12:37","dayLengthHours":10.475482734521272,"dayLengthDisplay":"10 Hours 28 Mins 32 Secs","nightLengthDisplay":"13 Hours 31 Mins 28 Secs","moonriseLocal":"17:44","moonsetLocal":"07:30","rahuKala":{"name":"Rāhu Kāla","start":"12:37","end":"13:56","startHours":12.62087951040272,"endHours":13.930314852217878,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:42","end":"10:00","startHours":8.692573484957242,"endHours":10.0020088267724,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:19","end":"12:37","startHours":11.31144416858756,"endHours":12.62087951040272,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:50","end":"10:11","startHours":9.827417447863713,"endHours":10.176600205681089,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:49","end":"08:06","startHours":7.819616590413802,"endHours":8.098962796667703,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:16","end":"12:58","startHours":12.271696752585344,"endHours":12.970062268220095,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:59","end":"06:41","startHours":5.98640711187258,"endHours":6.684772627507331,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:31","end":"07:23","startHours":6.510181248598643,"endHours":7.383138143142083,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:22","end":"15:04","startHours":14.366793299489597,"endHours":15.065158815124349,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:40","end":"18:04","startHours":17.658620877663356,"endHours":18.058620877663355,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:52","end":"18:18","startHours":17.858620877663355,"endHours":18.295099324935077,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:37","end":"19:22","startHours":17.608620877663355,"endHours":19.358620877663355,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:16","end":"00:58","startHours":24.271696752585346,"endHours":24.970062268220094,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:23","end":"08:42","startHours":7.383138143142083,"endHours":8.692573484957242,"quality":"auspicious"},{"name":"Amṛta","start":"08:42","end":"10:00","startHours":8.692573484957242,"endHours":10.0020088267724,"quality":"auspicious"},{"name":"Kāla","start":"10:00","end":"11:19","startHours":10.0020088267724,"endHours":11.31144416858756,"quality":"inauspicious"},{"name":"Śubha","start":"11:19","end":"12:37","startHours":11.31144416858756,"endHours":12.62087951040272,"quality":"auspicious"},{"name":"Roga","start":"12:37","end":"13:56","startHours":12.62087951040272,"endHours":13.930314852217878,"quality":"inauspicious"},{"name":"Udveg","start":"13:56","end":"15:14","startHours":13.930314852217878,"endHours":15.239750194033036,"quality":"inauspicious"},{"name":"Chala","start":"15:14","end":"16:33","startHours":15.239750194033036,"endHours":16.549185535848196,"quality":"neutral"},{"name":"Labha","start":"16:33","end":"17:52","startHours":16.549185535848196,"endHours":17.858620877663355,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:52","end":"19:33","startHours":17.858620877663355,"endHours":19.549185535848196,"quality":"inauspicious"},{"name":"Chala","start":"19:33","end":"21:14","startHours":19.549185535848196,"endHours":21.239750194033036,"quality":"neutral"},{"name":"Labha","start":"21:14","end":"22:56","startHours":21.239750194033036,"endHours":22.93031485221788,"quality":"auspicious"},{"name":"Amṛta","start":"22:56","end":"00:37","startHours":22.93031485221788,"endHours":24.62087951040272,"quality":"auspicious"},{"name":"Kāla","start":"00:37","end":"02:19","startHours":24.62087951040272,"endHours":26.31144416858756,"quality":"inauspicious"},{"name":"Śubha","start":"02:19","end":"04:00","startHours":26.31144416858756,"endHours":28.002008826772403,"quality":"auspicious"},{"name":"Roga","start":"04:00","end":"05:42","startHours":28.002008826772403,"endHours":29.692573484957244,"quality":"inauspicious"},{"name":"Udveg","start":"05:42","end":"07:23","startHours":29.692573484957244,"endHours":31.383138143142084,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:23","end":"08:23","startHours":7.383138143142083,"endHours":8.383138143142084,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:23","end":"09:23","startHours":8.383138143142084,"endHours":9.383138143142084,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:23","end":"10:23","startHours":9.383138143142084,"endHours":10.383138143142084,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:23","end":"11:23","startHours":10.383138143142084,"endHours":11.383138143142084,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:23","end":"12:23","startHours":11.383138143142084,"endHours":12.383138143142084,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:23","end":"13:23","startHours":12.383138143142084,"endHours":13.383138143142084,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:23","end":"14:23","startHours":13.383138143142084,"endHours":14.383138143142084,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:23","end":"15:23","startHours":14.383138143142084,"endHours":15.383138143142084,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:23","end":"16:23","startHours":15.383138143142084,"endHours":16.383138143142084,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:23","end":"17:23","startHours":16.383138143142084,"endHours":17.383138143142084,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:23","end":"18:23","startHours":17.383138143142084,"endHours":18.383138143142084,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:23","end":"19:23","startHours":18.383138143142084,"endHours":19.383138143142084,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:23","end":"20:23","startHours":19.383138143142084,"endHours":20.383138143142084,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:23","end":"21:23","startHours":20.383138143142084,"endHours":21.383138143142084,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:23","end":"22:23","startHours":21.383138143142084,"endHours":22.383138143142084,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:23","end":"23:23","startHours":22.383138143142084,"endHours":23.383138143142084,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:23","end":"00:23","startHours":23.383138143142084,"endHours":24.383138143142084,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:23","end":"01:23","startHours":24.383138143142084,"endHours":25.383138143142084,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:23","end":"02:23","startHours":25.383138143142084,"endHours":26.383138143142084,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:23","end":"03:23","startHours":26.383138143142084,"endHours":27.383138143142084,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:23","end":"04:23","startHours":27.383138143142084,"endHours":28.383138143142084,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:23","end":"05:23","startHours":28.383138143142084,"endHours":29.383138143142084,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:23","end":"06:23","startHours":29.383138143142084,"endHours":30.383138143142084,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:23","end":"07:23","startHours":30.383138143142084,"endHours":31.383138143142084,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"South-West","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Śiśira (Winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.426956494665415,"eotMinutes":-5.452770624163118,"ayanamsa":-47.4045}},"calendars":{"vikram_samvat":-3044,"saka_samvat":-3179,"bengali_samvat":-3694,"malayalam_era":-3925,"nanakshahi_year":-4570,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Śukla Pakṣa","solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Śukla Pūrṇimā · Vikram -3044 undefined · Śaka -3179 undefined"},"festivals":[{"id":"holi","name":"Holi (Phālguna Pūrṇimā)","name_sanskrit":"होली","tradition":"Pan-Hindu","significance":"Festival of colors; Holikā-dahana eve.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Phālguna"},"precedence":1},{"id":"lakshmi-jayanti","name":"Lakṣmī Jayantī","name_sanskrit":"लक्ष्मी जयन्ती","tradition":"Vaishnava","associated_deity":"Mahā-Lakṣmī","significance":"Birth of Mahā-Lakṣmī from samudra-mathana (Phālguna Pūrṇimā tradition).","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Phālguna"},"precedence":2,"sources":["Bhāgavata 8.8"]},{"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}],"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","relevance":0.5}]},"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 January 5, 3102 BCE · Puṣkar · Vidhyamitra","description":"January 5, 3102 BCE for Puṣkar: Śukla Pūrṇimā, sūryodaya 07:23, sūryāsta 17:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/pushkar/-3101-01-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/pushkar/-3101-01-05","sa":"https://sa.vidhyamitra.com/city/pushkar/-3101-01-05","hi":"https://hi.vidhyamitra.com/city/pushkar/-3101-01-05","x-default":"https://vidhyamitra.com/city/pushkar/-3101-01-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-24T17:16:39.889Z","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":"2026-05-24T17:16:39.889Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-24T17:16:39.889Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}