{"id":"vidhyamitra:city-day:pushkar:2051-01-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/pushkar/2051-01-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2051-01-10","date_display":"January 10, 2051 CE","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":2051,"month":1,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470181.770833,"kali_year":5152,"ahargana":1881716.2708,"sun":{"sidereal_longitude":264.8765,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":229.8089,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":324.9324,"elapsed_within_tithi_degrees":0.9324},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":229.8089,"elapsed_within_degrees":3.1422},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":134.6854},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2051,"month":1,"day":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470181.770833,"ahargana":1881716.2708,"kali_year":5152,"ayanamsa_lahiri":24.5658,"grahas":{"sun":{"sidereal_longitude":265.156749,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":230.29414900000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false,"latitude":2.3957},"mars":{"sidereal_longitude":345.933749,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":243.84484900000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":129.84814900000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":218.07214899999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":283.592949,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":197.6165,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":17.6165,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2051,"month":1,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470181.770833,"kali_year":5152,"ahargana":1881716.2708,"sun":{"sidereal_longitude":264.8765,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":229.8089,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":324.9324,"elapsed_within_tithi_degrees":0.9324},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":229.8089,"elapsed_within_degrees":3.1422},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":134.6854},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.396,"elongation":35.068},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.396,"opposition_distance":144.932}},"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":"07:22","sunsetLocal":"17:57","solarNoonLocal":"12:39","dayLengthHours":10.588575952401232,"dayLengthDisplay":"10 Hours 35 Mins 19 Secs","nightLengthDisplay":"13 Hours 24 Mins 41 Secs","moonriseLocal":"05:05","moonsetLocal":"15:35","rahuKala":{"name":"Rāhu Kāla","start":"15:18","end":"16:38","startHours":15.30213271850974,"endHours":16.625704712559894,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:00","end":"11:20","startHours":10.007844742309125,"endHours":11.331416736359278,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:39","end":"13:59","startHours":12.654988730409432,"endHours":13.978560724459587,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:50","end":"10:11","startHours":9.83136847643577,"endHours":10.18432100818248,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:48","end":"08:05","startHours":7.801891418892201,"endHours":8.084253444289567,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:18","end":"13:00","startHours":12.302036198662726,"endHours":13.007941262156141,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:57","end":"06:39","startHours":5.948890627221986,"endHours":6.654795690715401,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:29","end":"07:22","startHours":6.478319424842048,"endHours":7.360700754208817,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:25","end":"15:08","startHours":14.419751389142972,"endHours":15.125656452636388,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:45","end":"18:09","startHours":17.74927670661005,"endHours":18.14927670661005,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:57","end":"18:23","startHours":17.94927670661005,"endHours":18.390467371293436,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:42","end":"19:27","startHours":17.69927670661005,"endHours":19.44927670661005,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:18","end":"01:00","startHours":24.302036198662726,"endHours":25.007941262156145,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:22","end":"08:41","startHours":7.360700754208817,"endHours":8.684272748258971,"quality":"inauspicious"},{"name":"Udveg","start":"08:41","end":"10:00","startHours":8.684272748258971,"endHours":10.007844742309125,"quality":"inauspicious"},{"name":"Chala","start":"10:00","end":"11:20","startHours":10.007844742309125,"endHours":11.331416736359278,"quality":"neutral"},{"name":"Labha","start":"11:20","end":"12:39","startHours":11.331416736359278,"endHours":12.654988730409432,"quality":"auspicious"},{"name":"Amṛta","start":"12:39","end":"13:59","startHours":12.654988730409432,"endHours":13.978560724459587,"quality":"auspicious"},{"name":"Kāla","start":"13:59","end":"15:18","startHours":13.978560724459587,"endHours":15.30213271850974,"quality":"inauspicious"},{"name":"Śubha","start":"15:18","end":"16:38","startHours":15.30213271850974,"endHours":16.625704712559894,"quality":"auspicious"},{"name":"Roga","start":"16:38","end":"17:57","startHours":16.625704712559894,"endHours":17.94927670661005,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:57","end":"19:38","startHours":17.94927670661005,"endHours":19.625704712559894,"quality":"inauspicious"},{"name":"Śubha","start":"19:38","end":"21:18","startHours":19.625704712559894,"endHours":21.302132718509743,"quality":"auspicious"},{"name":"Roga","start":"21:18","end":"22:59","startHours":21.302132718509743,"endHours":22.978560724459587,"quality":"inauspicious"},{"name":"Udveg","start":"22:59","end":"00:39","startHours":22.978560724459587,"endHours":24.654988730409436,"quality":"inauspicious"},{"name":"Chala","start":"00:39","end":"02:20","startHours":24.654988730409436,"endHours":26.33141673635928,"quality":"neutral"},{"name":"Labha","start":"02:20","end":"04:00","startHours":26.33141673635928,"endHours":28.007844742309125,"quality":"auspicious"},{"name":"Amṛta","start":"04:00","end":"05:41","startHours":28.007844742309125,"endHours":29.68427274825897,"quality":"auspicious"},{"name":"Kāla","start":"05:41","end":"07:22","startHours":29.68427274825897,"endHours":31.360700754208818,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:22","end":"08:22","startHours":7.360700754208817,"endHours":8.360700754208818,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:22","end":"09:22","startHours":8.360700754208818,"endHours":9.360700754208818,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:22","end":"10:22","startHours":9.360700754208818,"endHours":10.360700754208818,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:22","end":"11:22","startHours":10.360700754208818,"endHours":11.360700754208818,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:22","end":"12:22","startHours":11.360700754208818,"endHours":12.360700754208818,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:22","end":"13:22","startHours":12.360700754208818,"endHours":13.360700754208818,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:22","end":"14:22","startHours":13.360700754208818,"endHours":14.360700754208818,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:22","end":"15:22","startHours":14.360700754208818,"endHours":15.360700754208818,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:22","end":"16:22","startHours":15.360700754208818,"endHours":16.360700754208818,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:22","end":"17:22","startHours":16.360700754208818,"endHours":17.360700754208818,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:22","end":"18:22","startHours":17.360700754208818,"endHours":18.360700754208818,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:22","end":"19:22","startHours":18.360700754208818,"endHours":19.360700754208818,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:22","end":"20:22","startHours":19.360700754208818,"endHours":20.360700754208818,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:22","end":"21:22","startHours":20.360700754208818,"endHours":21.360700754208818,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:22","end":"22:22","startHours":21.360700754208818,"endHours":22.360700754208818,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:22","end":"23:22","startHours":22.360700754208818,"endHours":23.360700754208818,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:22","end":"00:22","startHours":23.360700754208818,"endHours":24.360700754208818,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:22","end":"01:22","startHours":24.360700754208818,"endHours":25.360700754208818,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:22","end":"02:22","startHours":25.360700754208818,"endHours":26.360700754208818,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:22","end":"03:22","startHours":26.360700754208818,"endHours":27.360700754208818,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:22","end":"04:22","startHours":27.360700754208818,"endHours":28.360700754208818,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:22","end":"05:22","startHours":28.360700754208818,"endHours":29.360700754208818,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:22","end":"06:22","startHours":29.360700754208818,"endHours":30.360700754208818,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:22","end":"07:22","startHours":30.360700754208818,"endHours":31.360700754208818,"planetary_lord":"Saturn"}],"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","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"North","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-21.987271268971913,"eotMinutes":-7.499323824565993,"ayanamsa":24.5658}},"calendars":{"vikram_samvat":2108,"vikram_samvatsara":"Tāraṇa","saka_samvat":1973,"saka_samvatsara":"Prajāpati","bengali_samvat":1458,"malayalam_era":1227,"nanakshahi_year":582,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Trayodaśī · Vikram 2108 Tāraṇa · Śaka 1973 Prajāpati"},"festivals":[{"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":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Jyeṣṭhā","url":"/day/-3137-10-20","relevance":0.5}]},"validity":{"eternal":false,"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 10, 2051 CE · Puṣkar · Vidhyamitra","description":"January 10, 2051 CE for Puṣkar: Kṛṣṇa Trayodaśī, sūryodaya 07:22, sūryāsta 17:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/pushkar/2051-01-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/pushkar/2051-01-10","sa":"https://sa.vidhyamitra.com/city/pushkar/2051-01-10","hi":"https://hi.vidhyamitra.com/city/pushkar/2051-01-10","x-default":"https://vidhyamitra.com/city/pushkar/2051-01-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T04:01:39.703Z","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":"2026-06-01T04:01:39.703Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T04:01:39.703Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}