{"id":"vidhyamitra:city-day:pushkar:2041-12-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/pushkar/2041-12-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2041-12-21","date_display":"December 21, 2041 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":2041,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466874.770833,"kali_year":5143,"ahargana":1878409.2708,"sun":{"sidereal_longitude":244.6571,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":215.623,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":330.9659,"elapsed_within_tithi_degrees":6.9659},"nakshatra":{"number":17,"name":"Anurādhā","pada":1,"moon_longitude":215.623,"elapsed_within_degrees":2.2897},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":100.2801},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"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":2041,"month":12,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466874.770833,"ahargana":1878409.2708,"kali_year":5143,"ayanamsa_lahiri":24.4393,"grahas":{"sun":{"sidereal_longitude":245.0915,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":216.67269999999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false,"latitude":-1.7413},"mars":{"sidereal_longitude":122.26940000000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":259.57079999999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":207.57870000000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":241.76800000000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":188.84220000000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":12.8373,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":192.8373,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","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":2041,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466874.770833,"kali_year":5143,"ahargana":1878409.2708,"sun":{"sidereal_longitude":244.6571,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":215.623,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":330.9659,"elapsed_within_tithi_degrees":6.9659},"nakshatra":{"number":17,"name":"Anurādhā","pada":1,"moon_longitude":215.623,"elapsed_within_degrees":2.2897},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":100.2801},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.741,"elongation":29.034},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.741,"opposition_distance":150.966}},"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":"07:16","sunsetLocal":"17:45","solarNoonLocal":"12:30","dayLengthHours":10.474790370365147,"dayLengthDisplay":"10 Hours 28 Mins 29 Secs","nightLengthDisplay":"13 Hours 31 Mins 31 Secs","moonriseLocal":"05:17","moonsetLocal":"15:57","rahuKala":{"name":"Rāhu Kāla","start":"09:53","end":"11:12","startHours":9.888258583959676,"endHours":11.197607380255318,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:49","end":"15:08","startHours":13.816304972846606,"endHours":15.125653769142248,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:16","end":"08:35","startHours":7.2695609913683885,"endHours":8.578909787664031,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:43","end":"10:04","startHours":9.713678744453588,"endHours":10.062838423465761,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:42","end":"07:59","startHours":7.706010590133603,"endHours":7.985338333343341,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:51","startHours":12.157796497538792,"endHours":12.856115855563134,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:52","end":"06:34","startHours":5.872922275319702,"endHours":6.571241633344045,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:24","end":"07:16","startHours":6.39666179383796,"endHours":7.2695609913683885,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:15","end":"14:57","startHours":14.25275457161182,"endHours":14.951073929636163,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:33","end":"17:57","startHours":17.544351361733536,"endHours":17.944351361733535,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:45","end":"18:11","startHours":17.744351361733536,"endHours":18.18080096049875,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:30","end":"19:15","startHours":17.494351361733536,"endHours":19.244351361733536,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:51","startHours":24.157796497538794,"endHours":24.856115855563136,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:16","end":"08:35","startHours":7.2695609913683885,"endHours":8.578909787664031,"quality":"inauspicious"},{"name":"Śubha","start":"08:35","end":"09:53","startHours":8.578909787664031,"endHours":9.888258583959676,"quality":"auspicious"},{"name":"Roga","start":"09:53","end":"11:12","startHours":9.888258583959676,"endHours":11.197607380255318,"quality":"inauspicious"},{"name":"Udveg","start":"11:12","end":"12:30","startHours":11.197607380255318,"endHours":12.506956176550961,"quality":"inauspicious"},{"name":"Chala","start":"12:30","end":"13:49","startHours":12.506956176550961,"endHours":13.816304972846606,"quality":"neutral"},{"name":"Labha","start":"13:49","end":"15:08","startHours":13.816304972846606,"endHours":15.125653769142248,"quality":"auspicious"},{"name":"Amṛta","start":"15:08","end":"16:26","startHours":15.125653769142248,"endHours":16.43500256543789,"quality":"auspicious"},{"name":"Kāla","start":"16:26","end":"17:45","startHours":16.43500256543789,"endHours":17.744351361733536,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:45","end":"19:26","startHours":17.744351361733536,"endHours":19.43500256543789,"quality":"auspicious"},{"name":"Amṛta","start":"19:26","end":"21:08","startHours":19.43500256543789,"endHours":21.12565376914225,"quality":"auspicious"},{"name":"Kāla","start":"21:08","end":"22:49","startHours":21.12565376914225,"endHours":22.816304972846606,"quality":"inauspicious"},{"name":"Śubha","start":"22:49","end":"00:30","startHours":22.816304972846606,"endHours":24.50695617655096,"quality":"auspicious"},{"name":"Roga","start":"00:30","end":"02:12","startHours":24.50695617655096,"endHours":26.19760738025532,"quality":"inauspicious"},{"name":"Udveg","start":"02:12","end":"03:53","startHours":26.19760738025532,"endHours":27.888258583959676,"quality":"inauspicious"},{"name":"Chala","start":"03:53","end":"05:35","startHours":27.888258583959676,"endHours":29.57890978766403,"quality":"neutral"},{"name":"Labha","start":"05:35","end":"07:16","startHours":29.57890978766403,"endHours":31.269560991368387,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:16","end":"08:16","startHours":7.2695609913683885,"endHours":8.269560991368389,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:16","end":"09:16","startHours":8.269560991368389,"endHours":9.269560991368389,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:16","end":"10:16","startHours":9.269560991368389,"endHours":10.269560991368389,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:16","end":"11:16","startHours":10.269560991368389,"endHours":11.269560991368389,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:16","end":"12:16","startHours":11.269560991368389,"endHours":12.269560991368389,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:16","end":"13:16","startHours":12.269560991368389,"endHours":13.269560991368389,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:16","end":"14:16","startHours":13.269560991368389,"endHours":14.269560991368389,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:16","end":"15:16","startHours":14.269560991368389,"endHours":15.269560991368389,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:16","end":"16:16","startHours":15.269560991368389,"endHours":16.269560991368387,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:16","end":"17:16","startHours":16.269560991368387,"endHours":17.269560991368387,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:16","end":"18:16","startHours":17.269560991368387,"endHours":18.269560991368387,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:16","end":"19:16","startHours":18.269560991368387,"endHours":19.269560991368387,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:16","end":"20:16","startHours":19.269560991368387,"endHours":20.269560991368387,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:16","end":"21:16","startHours":20.269560991368387,"endHours":21.269560991368387,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:16","end":"22:16","startHours":21.269560991368387,"endHours":22.269560991368387,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:16","end":"23:16","startHours":22.269560991368387,"endHours":23.269560991368387,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:16","end":"00:16","startHours":23.269560991368387,"endHours":24.269560991368387,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:16","end":"01:16","startHours":24.269560991368387,"endHours":25.269560991368387,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:16","end":"02:16","startHours":25.269560991368387,"endHours":26.269560991368387,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:16","end":"03:16","startHours":26.269560991368387,"endHours":27.269560991368387,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:16","end":"04:16","startHours":27.269560991368387,"endHours":28.269560991368387,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:16","end":"05:16","startHours":28.269560991368387,"endHours":29.269560991368387,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:16","end":"06:16","startHours":29.269560991368387,"endHours":30.269560991368387,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:16","end":"07:16","startHours":30.269560991368387,"endHours":31.269560991368387,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"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":"East (Pūrva)","chandraVasa":"North-East","rahuVasa":"East","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.43566719395773,"eotMinutes":1.382629406942221,"ayanamsa":24.4393}},"calendars":{"vikram_samvat":2098,"vikram_samvatsara":"Bhāva","saka_samvat":1963,"saka_samvatsara":"Durmati","bengali_samvat":1448,"malayalam_era":1217,"nanakshahi_year":572,"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 2098 Bhāva · Śaka 1963 Durmati"},"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":"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":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"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 December 21, 2041 CE · Puṣkar · Vidhyamitra","description":"December 21, 2041 CE for Puṣkar: Kṛṣṇa Trayodaśī, sūryodaya 07:16, sūryāsta 17:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/pushkar/2041-12-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/pushkar/2041-12-21","sa":"https://sa.vidhyamitra.com/city/pushkar/2041-12-21","hi":"https://hi.vidhyamitra.com/city/pushkar/2041-12-21","x-default":"https://vidhyamitra.com/city/pushkar/2041-12-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T06:00:47.758Z","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":"2026-06-03T06:00:47.758Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T06:00:47.758Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}