{"id":"vidhyamitra:city-day:vrindavan:1846-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1846-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1846-01-13","date_display":"January 13, 1846 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":1846,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2395309.770833,"kali_year":4947,"ahargana":1806844.2708,"sun":{"sidereal_longitude":271.0866,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":97.3701,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":186.2835,"elapsed_within_tithi_degrees":6.2835},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":97.3701,"elapsed_within_degrees":4.0367},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":8.4566},"karana":{"half_tithi_index":31,"name":"Kaulava"},"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":1846,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2395309.770833,"ahargana":1806844.2708,"kali_year":4947,"ayanamsa_lahiri":21.7022,"grahas":{"sun":{"sidereal_longitude":270.83771,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":95.75581,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false,"latitude":-4.2954},"mars":{"sidereal_longitude":354.18161,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":249.57941000000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":11.76391000000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":317.8936100000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":298.3109099999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":204.6954,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":24.6954,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":1846,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2395309.770833,"kali_year":4947,"ahargana":1806844.2708,"sun":{"sidereal_longitude":271.0866,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":97.3701,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":186.2835,"elapsed_within_tithi_degrees":6.2835},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":97.3701,"elapsed_within_degrees":4.0367},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":8.4566},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.295,"elongation":173.717},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.295,"opposition_distance":6.283}},"eclipse_window_40days":[]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:11","sunsetLocal":"17:45","solarNoonLocal":"12:28","dayLengthHours":10.550960183461592,"dayLengthDisplay":"10 Hours 33 Mins 03 Secs","nightLengthDisplay":"13 Hours 26 Mins 57 Secs","moonriseLocal":"17:59","moonsetLocal":"07:36","rahuKala":{"name":"Rāhu Kāla","start":"15:06","end":"16:25","startHours":15.104385570721627,"endHours":16.423255593654325,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:50","end":"11:09","startHours":9.82890547899083,"endHours":11.14777550192353,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:28","end":"13:47","startHours":12.46664552485623,"endHours":13.785515547788927,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.653056142599803,"endHours":10.004754815381856,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.6307887741029985,"endHours":7.912147712328641,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:49","startHours":12.114946852074175,"endHours":12.81834419763828,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.78437074199722,"endHours":6.487768087561326,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:11","startHours":6.3119187511703,"endHours":7.191165433125432,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"14:56","startHours":14.225138888766494,"endHours":14.9285362343306,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:33","end":"17:57","startHours":17.542125616587025,"endHours":17.942125616587024,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:45","end":"18:11","startHours":17.742125616587025,"endHours":18.18174895756459,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:30","end":"19:15","startHours":17.492125616587025,"endHours":19.242125616587025,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:49","startHours":24.114946852074173,"endHours":24.81834419763828,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:11","end":"08:31","startHours":7.191165433125432,"endHours":8.510035456058132,"quality":"inauspicious"},{"name":"Udveg","start":"08:31","end":"09:50","startHours":8.510035456058132,"endHours":9.82890547899083,"quality":"inauspicious"},{"name":"Chala","start":"09:50","end":"11:09","startHours":9.82890547899083,"endHours":11.14777550192353,"quality":"neutral"},{"name":"Labha","start":"11:09","end":"12:28","startHours":11.14777550192353,"endHours":12.46664552485623,"quality":"auspicious"},{"name":"Amṛta","start":"12:28","end":"13:47","startHours":12.46664552485623,"endHours":13.785515547788927,"quality":"auspicious"},{"name":"Kāla","start":"13:47","end":"15:06","startHours":13.785515547788927,"endHours":15.104385570721627,"quality":"inauspicious"},{"name":"Śubha","start":"15:06","end":"16:25","startHours":15.104385570721627,"endHours":16.423255593654325,"quality":"auspicious"},{"name":"Roga","start":"16:25","end":"17:45","startHours":16.423255593654325,"endHours":17.742125616587025,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:45","end":"19:25","startHours":17.742125616587025,"endHours":19.423255593654325,"quality":"inauspicious"},{"name":"Śubha","start":"19:25","end":"21:06","startHours":19.423255593654325,"endHours":21.104385570721625,"quality":"auspicious"},{"name":"Roga","start":"21:06","end":"22:47","startHours":21.104385570721625,"endHours":22.785515547788926,"quality":"inauspicious"},{"name":"Udveg","start":"22:47","end":"00:28","startHours":22.785515547788926,"endHours":24.46664552485623,"quality":"inauspicious"},{"name":"Chala","start":"00:28","end":"02:09","startHours":24.46664552485623,"endHours":26.14777550192353,"quality":"neutral"},{"name":"Labha","start":"02:09","end":"03:50","startHours":26.14777550192353,"endHours":27.82890547899083,"quality":"auspicious"},{"name":"Amṛta","start":"03:50","end":"05:31","startHours":27.82890547899083,"endHours":29.510035456058134,"quality":"auspicious"},{"name":"Kāla","start":"05:31","end":"07:11","startHours":29.510035456058134,"endHours":31.191165433125434,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.191165433125432,"endHours":8.191165433125432,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.191165433125432,"endHours":9.191165433125432,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.191165433125432,"endHours":10.191165433125432,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.191165433125432,"endHours":11.191165433125432,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.191165433125432,"endHours":12.191165433125432,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.191165433125432,"endHours":13.191165433125432,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.191165433125432,"endHours":14.191165433125432,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.191165433125432,"endHours":15.191165433125432,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.191165433125432,"endHours":16.191165433125434,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.191165433125434,"endHours":17.191165433125434,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.191165433125434,"endHours":18.191165433125434,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.191165433125434,"endHours":19.191165433125434,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.191165433125434,"endHours":20.191165433125434,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.191165433125434,"endHours":21.191165433125434,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.191165433125434,"endHours":22.191165433125434,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.191165433125434,"endHours":23.191165433125434,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.191165433125434,"endHours":24.191165433125434,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.191165433125434,"endHours":25.191165433125434,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.191165433125434,"endHours":26.191165433125434,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.191165433125434,"endHours":27.191165433125434,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.191165433125434,"endHours":28.191165433125434,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.191165433125434,"endHours":29.191165433125434,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.191165433125434,"endHours":30.191165433125434,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.191165433125434,"endHours":31.191165433125434,"planetary_lord":"Saturn"}],"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","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-21.55232494250455,"eotMinutes":-8.635931491373626,"ayanamsa":21.7022}},"calendars":{"vikram_samvat":1903,"vikram_samvatsara":"Siddhārthī","saka_samvat":1768,"saka_samvatsara":"Parābhava","bengali_samvat":1253,"malayalam_era":1022,"nanakshahi_year":377,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","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 Kṛṣṇa Pratipada · Vikram 1903 Siddhārthī · Śaka 1768 Parābhava"},"festivals":[],"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":[]},"validity":{"eternal":false,"location_specific":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 13, 1846 CE · Vṛndāvana · Vidhyamitra","description":"January 13, 1846 CE for Vṛndāvana: Kṛṣṇa Pratipada, sūryodaya 07:11, sūryāsta 17:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1846-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1846-01-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/1846-01-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/1846-01-13","x-default":"https://vidhyamitra.com/city/vrindavan/1846-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T22:09:44.711Z","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":"2026-06-02T22:09:44.711Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T22:09:44.711Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}