{"id":"vidhyamitra:city-day:vrindavan:2045-11-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2045-11-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-11-03","date_display":"November 3, 2045 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":2045,"month":11,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468287.770833,"kali_year":5147,"ahargana":1879822.2708,"sun":{"sidereal_longitude":195.7423,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":119.5138,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":283.7715,"elapsed_within_tithi_degrees":7.7715},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":119.5138,"elapsed_within_degrees":12.8471},"yoga":{"number":24,"name":"Śukla","sum_longitude":315.2561},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2045,"month":11,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468287.770833,"ahargana":1879822.2708,"kali_year":5147,"ayanamsa_lahiri":24.4933,"grahas":{"sun":{"sidereal_longitude":196.52901299999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":118.99231299999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false,"latitude":-0.1211},"mars":{"sidereal_longitude":139.17891299999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":217.55441299999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":308.092313,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":242.251213,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":225.10081300000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":297.9698,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":117.9698,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2045,"month":11,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468287.770833,"kali_year":5147,"ahargana":1879822.2708,"sun":{"sidereal_longitude":195.7423,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":119.5138,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":283.7715,"elapsed_within_tithi_degrees":7.7715},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":119.5138,"elapsed_within_degrees":12.8471},"yoga":{"number":24,"name":"Śukla","sum_longitude":315.2561},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.121,"elongation":76.228},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.121,"opposition_distance":103.772}},"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":"06:32","sunsetLocal":"17:34","solarNoonLocal":"12:03","dayLengthHours":11.048891532392993,"dayLengthDisplay":"11 Hours 02 Mins 56 Secs","nightLengthDisplay":"12 Hours 57 Mins 04 Secs","moonriseLocal":"00:21","moonsetLocal":"13:25","rahuKala":{"name":"Rāhu Kāla","start":"10:40","end":"12:03","startHours":10.66859459248349,"endHours":12.049706034032614,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:49","end":"16:12","startHours":14.811928917130864,"endHours":16.193040358679987,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:54","end":"09:17","startHours":7.906371709385242,"endHours":9.287483150934367,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:06","end":"09:28","startHours":9.103334958727817,"endHours":9.471631343140917,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:59","end":"07:17","startHours":6.985630748352492,"endHours":7.280267855882972,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:25","startHours":11.681409649619514,"endHours":12.418002418445713,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:03","end":"05:47","startHours":5.052074730183719,"endHours":5.788667499009918,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:36","end":"06:32","startHours":5.604519306803368,"endHours":6.525260267836118,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:53","end":"14:38","startHours":13.891187956098113,"endHours":14.627780724924312,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:22","end":"17:46","startHours":17.37415180022911,"endHours":17.77415180022911,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:34","end":"18:02","startHours":17.57415180022911,"endHours":18.034522280745485,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:19","end":"19:04","startHours":17.32415180022911,"endHours":19.07415180022911,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:25","startHours":23.681409649619514,"endHours":24.418002418445713,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:32","end":"07:54","startHours":6.525260267836118,"endHours":7.906371709385242,"quality":"neutral"},{"name":"Labha","start":"07:54","end":"09:17","startHours":7.906371709385242,"endHours":9.287483150934367,"quality":"auspicious"},{"name":"Amṛta","start":"09:17","end":"10:40","startHours":9.287483150934367,"endHours":10.66859459248349,"quality":"auspicious"},{"name":"Kāla","start":"10:40","end":"12:03","startHours":10.66859459248349,"endHours":12.049706034032614,"quality":"inauspicious"},{"name":"Śubha","start":"12:03","end":"13:26","startHours":12.049706034032614,"endHours":13.430817475581739,"quality":"auspicious"},{"name":"Roga","start":"13:26","end":"14:49","startHours":13.430817475581739,"endHours":14.811928917130864,"quality":"inauspicious"},{"name":"Udveg","start":"14:49","end":"16:12","startHours":14.811928917130864,"endHours":16.193040358679987,"quality":"inauspicious"},{"name":"Chala","start":"16:12","end":"17:34","startHours":16.193040358679987,"endHours":17.57415180022911,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:34","end":"19:12","startHours":17.57415180022911,"endHours":19.193040358679987,"quality":"inauspicious"},{"name":"Udveg","start":"19:12","end":"20:49","startHours":19.193040358679987,"endHours":20.811928917130864,"quality":"inauspicious"},{"name":"Chala","start":"20:49","end":"22:26","startHours":20.811928917130864,"endHours":22.430817475581737,"quality":"neutral"},{"name":"Labha","start":"22:26","end":"00:03","startHours":22.430817475581737,"endHours":24.049706034032614,"quality":"auspicious"},{"name":"Amṛta","start":"00:03","end":"01:40","startHours":24.049706034032614,"endHours":25.66859459248349,"quality":"auspicious"},{"name":"Kāla","start":"01:40","end":"03:17","startHours":25.66859459248349,"endHours":27.287483150934364,"quality":"inauspicious"},{"name":"Śubha","start":"03:17","end":"04:54","startHours":27.287483150934364,"endHours":28.90637170938524,"quality":"auspicious"},{"name":"Roga","start":"04:54","end":"06:32","startHours":28.90637170938524,"endHours":30.525260267836117,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.525260267836118,"endHours":7.525260267836118,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.525260267836118,"endHours":8.525260267836117,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.525260267836117,"endHours":9.525260267836117,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.525260267836117,"endHours":10.525260267836117,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.525260267836117,"endHours":11.525260267836117,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.525260267836117,"endHours":12.525260267836117,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.525260267836117,"endHours":13.525260267836117,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.525260267836117,"endHours":14.525260267836117,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.525260267836117,"endHours":15.525260267836117,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.525260267836117,"endHours":16.525260267836117,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.525260267836117,"endHours":17.525260267836117,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.525260267836117,"endHours":18.525260267836117,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.525260267836117,"endHours":19.525260267836117,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.525260267836117,"endHours":20.525260267836117,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.525260267836117,"endHours":21.525260267836117,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.525260267836117,"endHours":22.525260267836117,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.525260267836117,"endHours":23.525260267836117,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.525260267836117,"endHours":24.525260267836117,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.525260267836117,"endHours":25.525260267836117,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.525260267836117,"endHours":26.525260267836117,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.525260267836117,"endHours":27.525260267836117,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.525260267836117,"endHours":28.525260267836117,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.525260267836117,"endHours":29.525260267836117,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.525260267836117,"endHours":30.525260267836117,"planetary_lord":"Mars"}],"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","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-15.132543718350238,"eotMinutes":16.380437958043267,"ayanamsa":24.4933}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Navamī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 November 3, 2045 CE · Vṛndāvana · Vidhyamitra","description":"November 3, 2045 CE for Vṛndāvana: Kṛṣṇa Navamī, sūryodaya 06:32, sūryāsta 17:34.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2045-11-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2045-11-03","sa":"https://sa.vidhyamitra.com/city/vrindavan/2045-11-03","hi":"https://hi.vidhyamitra.com/city/vrindavan/2045-11-03","x-default":"https://vidhyamitra.com/city/vrindavan/2045-11-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T23:07:41.212Z","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":"2026-06-02T23:07:41.212Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T23:07:41.212Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}