{"id":"vidhyamitra:city-day:vrindavan:1845-07-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1845-07-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1845-07-16","date_display":"July 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":7,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2395128.770833,"kali_year":4947,"ahargana":1806663.2708,"sun":{"sidereal_longitude":91.5214,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":228.9196,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":137.3982,"elapsed_within_tithi_degrees":5.3982},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":228.9196,"elapsed_within_degrees":2.2529},"yoga":{"number":25,"name":"Brahma","sum_longitude":320.441},"karana":{"half_tithi_index":22,"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":1845,"month":7,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2395128.770833,"ahargana":1806663.2708,"kali_year":4947,"ayanamsa_lahiri":21.6953,"grahas":{"sun":{"sidereal_longitude":91.60132499999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"moon":{"sidereal_longitude":226.347625,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false,"latitude":1.1358},"mars":{"sidereal_longitude":310.8266249999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":true},"mercury":{"sidereal_longitude":104.91252500000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":18.046924999999987,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":110.29612500000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":297.67612499999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":214.2856,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":34.2856,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"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":7,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2395128.770833,"kali_year":4947,"ahargana":1806663.2708,"sun":{"sidereal_longitude":91.5214,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":228.9196,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":137.3982,"elapsed_within_tithi_degrees":5.3982},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":228.9196,"elapsed_within_degrees":2.2529},"yoga":{"number":25,"name":"Brahma","sum_longitude":320.441},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.136,"elongation":137.398},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.136,"opposition_distance":42.602}},"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":"05:34","sunsetLocal":"19:16","solarNoonLocal":"12:25","dayLengthHours":13.713869355706114,"dayLengthDisplay":"13 Hours 42 Mins 50 Secs","nightLengthDisplay":"10 Hours 17 Mins 10 Secs","moonriseLocal":"16:09","moonsetLocal":"02:39","rahuKala":{"name":"Rāhu Kāla","start":"12:25","end":"14:08","startHours":12.417425676937949,"endHours":14.131659346401214,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:16","end":"08:59","startHours":7.274724668548157,"endHours":8.988958338011422,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:42","end":"12:25","startHours":10.703192007474685,"endHours":12.417425676937949,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:46","end":"09:13","startHours":8.760393848749652,"endHours":9.21752282727319,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:08","end":"06:30","startHours":6.131902222239314,"endHours":6.4976054050581435,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:52","startHours":11.960296698414412,"endHours":12.874554655461486,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:44","end":"04:39","startHours":3.7319750849907445,"endHours":4.646233042037818,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:25","end":"05:34","startHours":4.41766855277605,"endHours":5.560490999084893,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.703070569555635,"endHours":15.617328526602709,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:04","end":"19:28","startHours":19.074360354791008,"endHours":19.474360354791006,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:16","end":"19:51","startHours":19.274360354791007,"endHours":19.845771577945428,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:01","end":"20:46","startHours":19.024360354791007,"endHours":20.774360354791007,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:52","startHours":23.96029669841441,"endHours":24.874554655461488,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:34","end":"07:16","startHours":5.560490999084893,"endHours":7.274724668548157,"quality":"auspicious"},{"name":"Amṛta","start":"07:16","end":"08:59","startHours":7.274724668548157,"endHours":8.988958338011422,"quality":"auspicious"},{"name":"Kāla","start":"08:59","end":"10:42","startHours":8.988958338011422,"endHours":10.703192007474685,"quality":"inauspicious"},{"name":"Śubha","start":"10:42","end":"12:25","startHours":10.703192007474685,"endHours":12.417425676937949,"quality":"auspicious"},{"name":"Roga","start":"12:25","end":"14:08","startHours":12.417425676937949,"endHours":14.131659346401214,"quality":"inauspicious"},{"name":"Udveg","start":"14:08","end":"15:51","startHours":14.131659346401214,"endHours":15.845893015864478,"quality":"inauspicious"},{"name":"Chala","start":"15:51","end":"17:34","startHours":15.845893015864478,"endHours":17.560126685327745,"quality":"neutral"},{"name":"Labha","start":"17:34","end":"19:16","startHours":17.560126685327745,"endHours":19.274360354791007,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:16","end":"20:34","startHours":19.274360354791007,"endHours":20.56012668532774,"quality":"inauspicious"},{"name":"Chala","start":"20:34","end":"21:51","startHours":20.56012668532774,"endHours":21.84589301586448,"quality":"neutral"},{"name":"Labha","start":"21:51","end":"23:08","startHours":21.84589301586448,"endHours":23.131659346401214,"quality":"auspicious"},{"name":"Amṛta","start":"23:08","end":"00:25","startHours":23.131659346401214,"endHours":24.41742567693795,"quality":"auspicious"},{"name":"Kāla","start":"00:25","end":"01:42","startHours":24.41742567693795,"endHours":25.703192007474684,"quality":"inauspicious"},{"name":"Śubha","start":"01:42","end":"02:59","startHours":25.703192007474684,"endHours":26.98895833801142,"quality":"auspicious"},{"name":"Roga","start":"02:59","end":"04:16","startHours":26.98895833801142,"endHours":28.274724668548156,"quality":"inauspicious"},{"name":"Udveg","start":"04:16","end":"05:34","startHours":28.274724668548156,"endHours":29.56049099908489,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:34","end":"06:34","startHours":5.560490999084893,"endHours":6.560490999084893,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:34","end":"07:34","startHours":6.560490999084893,"endHours":7.560490999084893,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:34","end":"08:34","startHours":7.560490999084893,"endHours":8.560490999084893,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:34","end":"09:34","startHours":8.560490999084893,"endHours":9.560490999084893,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:34","end":"10:34","startHours":9.560490999084893,"endHours":10.560490999084893,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:34","end":"11:34","startHours":10.560490999084893,"endHours":11.560490999084893,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:34","end":"12:34","startHours":11.560490999084893,"endHours":12.560490999084893,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:34","end":"13:34","startHours":12.560490999084893,"endHours":13.560490999084893,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:34","end":"14:34","startHours":13.560490999084893,"endHours":14.560490999084893,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:34","end":"15:34","startHours":14.560490999084893,"endHours":15.560490999084893,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:34","end":"16:34","startHours":15.560490999084893,"endHours":16.56049099908489,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:34","end":"17:34","startHours":16.56049099908489,"endHours":17.56049099908489,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:34","end":"18:34","startHours":17.56049099908489,"endHours":18.56049099908489,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:34","end":"19:34","startHours":18.56049099908489,"endHours":19.56049099908489,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:34","end":"20:34","startHours":19.56049099908489,"endHours":20.56049099908489,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:34","end":"21:34","startHours":20.56049099908489,"endHours":21.56049099908489,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:34","end":"22:34","startHours":21.56049099908489,"endHours":22.56049099908489,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:34","end":"23:34","startHours":22.56049099908489,"endHours":23.56049099908489,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:34","end":"00:34","startHours":23.56049099908489,"endHours":24.56049099908489,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:34","end":"01:34","startHours":24.56049099908489,"endHours":25.56049099908489,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:34","end":"02:34","startHours":25.56049099908489,"endHours":26.56049099908489,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:34","end":"03:34","startHours":26.56049099908489,"endHours":27.56049099908489,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:34","end":"04:34","startHours":27.56049099908489,"endHours":28.56049099908489,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:34","end":"05:34","startHours":28.56049099908489,"endHours":29.56049099908489,"planetary_lord":"Sun"}],"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":"South-West","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.42636680896775,"eotMinutes":-5.682740616276977,"ayanamsa":21.6953}},"calendars":{"vikram_samvat":1902,"vikram_samvatsara":"Kālayukta","saka_samvat":1767,"saka_samvatsara":"Viśvāvasu","bengali_samvat":1252,"malayalam_era":1021,"nanakshahi_year":376,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Dvādaśī · Vikram 1902 Kālayukta · Śaka 1767 Viśvāvasu"},"festivals":[],"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":"-3137-10-20","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":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 16, 1845 CE · Vṛndāvana · Vidhyamitra","description":"July 16, 1845 CE for Vṛndāvana: Śukla Dvādaśī, sūryodaya 05:34, sūryāsta 19:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1845-07-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1845-07-16","sa":"https://sa.vidhyamitra.com/city/vrindavan/1845-07-16","hi":"https://hi.vidhyamitra.com/city/vrindavan/1845-07-16","x-default":"https://vidhyamitra.com/city/vrindavan/1845-07-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T20:53:02.159Z","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":"2026-06-02T20:53:02.159Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T20:53:02.159Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}