{"id":"vidhyamitra:city-day:vrindavan:1845-07-09:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1845-07-09","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1845-07-09","date_display":"July 9, 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":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2395121.770833,"kali_year":4947,"ahargana":1806656.2708,"sun":{"sidereal_longitude":84.8911,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":136.5339,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":51.6428,"elapsed_within_tithi_degrees":3.6428},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":136.5339,"elapsed_within_degrees":3.2005},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":221.425},"karana":{"half_tithi_index":8,"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":9,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2395121.770833,"ahargana":1806656.2708,"kali_year":4947,"ayanamsa_lahiri":21.695,"grahas":{"sun":{"sidereal_longitude":84.92549299999996,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":133.129093,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false,"latitude":-4.4035},"mars":{"sidereal_longitude":310.20769300000006,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":true},"mercury":{"sidereal_longitude":90.634793,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":17.068793000000028,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":101.71329300000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":298.10219299999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":214.6565,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":34.6565,"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":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2395121.770833,"kali_year":4947,"ahargana":1806656.2708,"sun":{"sidereal_longitude":84.8911,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":136.5339,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":51.6428,"elapsed_within_tithi_degrees":3.6428},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":136.5339,"elapsed_within_degrees":3.2005},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":221.425},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.403,"elongation":51.643},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.403,"opposition_distance":128.357}},"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":"05:30","sunsetLocal":"19:18","solarNoonLocal":"12:24","dayLengthHours":13.795912290278167,"dayLengthDisplay":"13 Hours 47 Mins 45 Secs","nightLengthDisplay":"10 Hours 12 Mins 15 Secs","moonriseLocal":"09:14","moonsetLocal":"22:00","rahuKala":{"name":"Rāhu Kāla","start":"12:24","end":"14:08","startHours":12.40318801046108,"endHours":14.127677046745848,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:14","end":"08:57","startHours":7.229720901606766,"endHours":8.954209937891537,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:41","end":"12:24","startHours":10.678698974176307,"endHours":12.40318801046108,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:43","end":"09:11","startHours":8.724278066386901,"endHours":9.184141809396174,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:05","end":"06:27","startHours":6.080061544083585,"endHours":6.447952538491003,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:52","startHours":11.943324267451807,"endHours":12.863051753470351,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:40","end":"04:35","startHours":3.6657768932849057,"endHours":4.58550437930345,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:21","end":"05:30","startHours":4.355572507798814,"endHours":5.505231865321995,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.70250672550744,"endHours":15.622234211525985,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:06","end":"19:30","startHours":19.101144155600164,"endHours":19.501144155600162,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:18","end":"19:53","startHours":19.301144155600163,"endHours":19.87597383436175,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:03","end":"20:48","startHours":19.051144155600163,"endHours":20.801144155600163,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:52","startHours":23.943324267451807,"endHours":24.86305175347035,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:30","end":"07:14","startHours":5.505231865321995,"endHours":7.229720901606766,"quality":"auspicious"},{"name":"Amṛta","start":"07:14","end":"08:57","startHours":7.229720901606766,"endHours":8.954209937891537,"quality":"auspicious"},{"name":"Kāla","start":"08:57","end":"10:41","startHours":8.954209937891537,"endHours":10.678698974176307,"quality":"inauspicious"},{"name":"Śubha","start":"10:41","end":"12:24","startHours":10.678698974176307,"endHours":12.40318801046108,"quality":"auspicious"},{"name":"Roga","start":"12:24","end":"14:08","startHours":12.40318801046108,"endHours":14.127677046745848,"quality":"inauspicious"},{"name":"Udveg","start":"14:08","end":"15:51","startHours":14.127677046745848,"endHours":15.852166083030621,"quality":"inauspicious"},{"name":"Chala","start":"15:51","end":"17:35","startHours":15.852166083030621,"endHours":17.57665511931539,"quality":"neutral"},{"name":"Labha","start":"17:35","end":"19:18","startHours":17.57665511931539,"endHours":19.301144155600163,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:18","end":"20:35","startHours":19.301144155600163,"endHours":20.57665511931539,"quality":"inauspicious"},{"name":"Chala","start":"20:35","end":"21:51","startHours":20.57665511931539,"endHours":21.85216608303062,"quality":"neutral"},{"name":"Labha","start":"21:51","end":"23:08","startHours":21.85216608303062,"endHours":23.127677046745852,"quality":"auspicious"},{"name":"Amṛta","start":"23:08","end":"00:24","startHours":23.127677046745852,"endHours":24.40318801046108,"quality":"auspicious"},{"name":"Kāla","start":"00:24","end":"01:41","startHours":24.40318801046108,"endHours":25.678698974176307,"quality":"inauspicious"},{"name":"Śubha","start":"01:41","end":"02:57","startHours":25.678698974176307,"endHours":26.954209937891537,"quality":"auspicious"},{"name":"Roga","start":"02:57","end":"04:14","startHours":26.954209937891537,"endHours":28.22972090160677,"quality":"inauspicious"},{"name":"Udveg","start":"04:14","end":"05:30","startHours":28.22972090160677,"endHours":29.505231865321996,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:30","end":"06:30","startHours":5.505231865321995,"endHours":6.505231865321995,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:30","end":"07:30","startHours":6.505231865321995,"endHours":7.505231865321995,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:30","end":"08:30","startHours":7.505231865321995,"endHours":8.505231865321996,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:30","end":"09:30","startHours":8.505231865321996,"endHours":9.505231865321996,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:30","end":"10:30","startHours":9.505231865321996,"endHours":10.505231865321996,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:30","end":"11:30","startHours":10.505231865321996,"endHours":11.505231865321996,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:30","end":"12:30","startHours":11.505231865321996,"endHours":12.505231865321996,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:30","end":"13:30","startHours":12.505231865321996,"endHours":13.505231865321996,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:30","end":"14:30","startHours":13.505231865321996,"endHours":14.505231865321996,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:30","end":"15:30","startHours":14.505231865321996,"endHours":15.505231865321996,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:30","end":"16:30","startHours":15.505231865321996,"endHours":16.505231865321996,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:30","end":"17:30","startHours":16.505231865321996,"endHours":17.505231865321996,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:30","end":"18:30","startHours":17.505231865321996,"endHours":18.505231865321996,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:30","end":"19:30","startHours":18.505231865321996,"endHours":19.505231865321996,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:30","end":"20:30","startHours":19.505231865321996,"endHours":20.505231865321996,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:30","end":"21:30","startHours":20.505231865321996,"endHours":21.505231865321996,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:30","end":"22:30","startHours":21.505231865321996,"endHours":22.505231865321996,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:30","end":"23:30","startHours":22.505231865321996,"endHours":23.505231865321996,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:30","end":"00:30","startHours":23.505231865321996,"endHours":24.505231865321996,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:30","end":"01:30","startHours":24.505231865321996,"endHours":25.505231865321996,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:30","end":"02:30","startHours":25.505231865321996,"endHours":26.505231865321996,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:30","end":"03:30","startHours":26.505231865321996,"endHours":27.505231865321996,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:30","end":"04:30","startHours":27.505231865321996,"endHours":28.505231865321996,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:30","end":"05:30","startHours":28.505231865321996,"endHours":29.505231865321996,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"South-West","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":22.402785920849627,"eotMinutes":-4.828480627664775,"ayanamsa":21.695}},"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":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Pañcamī · 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":[]},"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 9, 1845 CE · Vṛndāvana · Vidhyamitra","description":"July 9, 1845 CE for Vṛndāvana: Śukla Pañcamī, sūryodaya 05:30, sūryāsta 19:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1845-07-09","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1845-07-09","sa":"https://sa.vidhyamitra.com/city/vrindavan/1845-07-09","hi":"https://hi.vidhyamitra.com/city/vrindavan/1845-07-09","x-default":"https://vidhyamitra.com/city/vrindavan/1845-07-09"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T06:17:00.386Z","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":"2026-06-03T06:17:00.386Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T06:17:00.386Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}