{"id":"vidhyamitra:city-day:vrindavan:1845-01-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1845-01-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1845-01-16","date_display":"January 16, 1845 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":1845,"month":1,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2394947.770833,"kali_year":4946,"ahargana":1806482.2708,"sun":{"sidereal_longitude":274.4316,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":9.488,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":95.0564,"elapsed_within_tithi_degrees":11.0564},"nakshatra":{"number":1,"name":"Aśvinī","pada":3,"moon_longitude":9.488,"elapsed_within_degrees":9.488},"yoga":{"number":22,"name":"Sādhya","sum_longitude":283.9195},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":1845,"month":1,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2394947.770833,"ahargana":1806482.2708,"kali_year":4946,"ayanamsa_lahiri":21.6884,"grahas":{"sun":{"sidereal_longitude":274.15434099999993,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":11.686441000000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false,"latitude":2.5398},"mars":{"sidereal_longitude":217.62754100000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":268.23664099999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":339.797241,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":246.74294099999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":288.367841,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":223.8759,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":43.8759,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","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":1845,"month":1,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2394947.770833,"kali_year":4946,"ahargana":1806482.2708,"sun":{"sidereal_longitude":274.4316,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":9.488,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":95.0564,"elapsed_within_tithi_degrees":11.0564},"nakshatra":{"number":1,"name":"Aśvinī","pada":3,"moon_longitude":9.488,"elapsed_within_degrees":9.488},"yoga":{"number":22,"name":"Sādhya","sum_longitude":283.9195},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.54,"elongation":95.056},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.54,"opposition_distance":84.944}},"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":"17:47","solarNoonLocal":"12:29","dayLengthHours":10.597528530311852,"dayLengthDisplay":"10 Hours 35 Mins 51 Secs","nightLengthDisplay":"13 Hours 24 Mins 09 Secs","moonriseLocal":"12:30","moonsetLocal":"01:29","rahuKala":{"name":"Rāhu Kāla","start":"13:49","end":"15:08","startHours":13.808952758651944,"endHours":15.133643824940926,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:11","end":"08:31","startHours":7.185497427207037,"endHours":8.510188493496019,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:50","end":"11:10","startHours":9.834879559785,"endHours":11.15957062607398,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.658254084279802,"endHours":10.011505035290197,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.62706111597003,"endHours":7.909661876778347,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:08","end":"12:50","startHours":12.131010741352567,"endHours":12.837512643373357,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:29","startHours":5.772493623165456,"endHours":6.478995525186247,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.302370049681049,"endHours":7.185497427207037,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:15","end":"14:57","startHours":14.250516447414938,"endHours":14.957018349435728,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:35","end":"17:59","startHours":17.58302595751889,"endHours":17.983025957518887,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:47","end":"18:13","startHours":17.783025957518888,"endHours":18.22458964628188,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:32","end":"19:17","startHours":17.533025957518888,"endHours":19.283025957518888,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:08","end":"00:50","startHours":24.13101074135257,"endHours":24.83751264337336,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:11","end":"08:31","startHours":7.185497427207037,"endHours":8.510188493496019,"quality":"auspicious"},{"name":"Roga","start":"08:31","end":"09:50","startHours":8.510188493496019,"endHours":9.834879559785,"quality":"inauspicious"},{"name":"Udveg","start":"09:50","end":"11:10","startHours":9.834879559785,"endHours":11.15957062607398,"quality":"inauspicious"},{"name":"Chala","start":"11:10","end":"12:29","startHours":11.15957062607398,"endHours":12.484261692362963,"quality":"neutral"},{"name":"Labha","start":"12:29","end":"13:49","startHours":12.484261692362963,"endHours":13.808952758651944,"quality":"auspicious"},{"name":"Amṛta","start":"13:49","end":"15:08","startHours":13.808952758651944,"endHours":15.133643824940926,"quality":"auspicious"},{"name":"Kāla","start":"15:08","end":"16:28","startHours":15.133643824940926,"endHours":16.458334891229907,"quality":"inauspicious"},{"name":"Śubha","start":"16:28","end":"17:47","startHours":16.458334891229907,"endHours":17.783025957518888,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:47","end":"19:28","startHours":17.783025957518888,"endHours":19.458334891229907,"quality":"auspicious"},{"name":"Kāla","start":"19:28","end":"21:08","startHours":19.458334891229907,"endHours":21.133643824940926,"quality":"inauspicious"},{"name":"Śubha","start":"21:08","end":"22:49","startHours":21.133643824940926,"endHours":22.80895275865194,"quality":"auspicious"},{"name":"Roga","start":"22:49","end":"00:29","startHours":22.80895275865194,"endHours":24.484261692362963,"quality":"inauspicious"},{"name":"Udveg","start":"00:29","end":"02:10","startHours":24.484261692362963,"endHours":26.15957062607398,"quality":"inauspicious"},{"name":"Chala","start":"02:10","end":"03:50","startHours":26.15957062607398,"endHours":27.834879559784998,"quality":"neutral"},{"name":"Labha","start":"03:50","end":"05:31","startHours":27.834879559784998,"endHours":29.510188493496017,"quality":"auspicious"},{"name":"Amṛta","start":"05:31","end":"07:11","startHours":29.510188493496017,"endHours":31.185497427207036,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.185497427207037,"endHours":8.185497427207036,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.185497427207036,"endHours":9.185497427207036,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.185497427207036,"endHours":10.185497427207036,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.185497427207036,"endHours":11.185497427207036,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.185497427207036,"endHours":12.185497427207036,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.185497427207036,"endHours":13.185497427207036,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.185497427207036,"endHours":14.185497427207036,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.185497427207036,"endHours":15.185497427207036,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.185497427207036,"endHours":16.185497427207036,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.185497427207036,"endHours":17.185497427207036,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.185497427207036,"endHours":18.185497427207036,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.185497427207036,"endHours":19.185497427207036,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.185497427207036,"endHours":20.185497427207036,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.185497427207036,"endHours":21.185497427207036,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.185497427207036,"endHours":22.185497427207036,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.185497427207036,"endHours":23.185497427207036,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.185497427207036,"endHours":24.185497427207036,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.185497427207036,"endHours":25.185497427207036,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.185497427207036,"endHours":26.185497427207036,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.185497427207036,"endHours":27.185497427207036,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.185497427207036,"endHours":28.185497427207036,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.185497427207036,"endHours":29.185497427207036,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.185497427207036,"endHours":30.185497427207036,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.185497427207036,"endHours":31.185497427207036,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Mṛtyu","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":-20.974767149638815,"eotMinutes":-9.692901541777706,"ayanamsa":21.6884}},"calendars":{"vikram_samvat":1902,"vikram_samvatsara":"Kālayukta","saka_samvat":1767,"saka_samvatsara":"Viśvāvasu","bengali_samvat":1252,"malayalam_era":1021,"nanakshahi_year":376,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","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":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Aṣṭamī · Vikram 1902 Kālayukta · Śaka 1767 Viśvāvasu"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","url":"/day/-3137-12-25","relevance":0.5},{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","relevance":0.5}]},"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 16, 1845 CE · Vṛndāvana · Vidhyamitra","description":"January 16, 1845 CE for Vṛndāvana: Śukla Aṣṭamī, sūryodaya 07:11, sūryāsta 17:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1845-01-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1845-01-16","sa":"https://sa.vidhyamitra.com/city/vrindavan/1845-01-16","hi":"https://hi.vidhyamitra.com/city/vrindavan/1845-01-16","x-default":"https://vidhyamitra.com/city/vrindavan/1845-01-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T20:52:40.444Z","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":"2026-06-02T20:52:40.444Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T20:52:40.444Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}