{"id":"vidhyamitra:city-day:vrindavan:2045-10-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2045-10-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-10-07","date_display":"October 7, 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":10,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468260.770833,"kali_year":5147,"ahargana":1879795.2708,"sun":{"sidereal_longitude":168.8402,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":124.6197,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":315.7794,"elapsed_within_tithi_degrees":3.7794},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":124.6197,"elapsed_within_degrees":4.6197},"yoga":{"number":23,"name":"Śubha","sum_longitude":293.4599},"karana":{"half_tithi_index":52,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":10,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468260.770833,"ahargana":1879795.2708,"kali_year":5147,"ayanamsa_lahiri":24.4923,"grahas":{"sun":{"sidereal_longitude":169.69534499999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"moon":{"sidereal_longitude":123.029245,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false,"latitude":-0.4089},"mars":{"sidereal_longitude":123.048745,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":188.17274499999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":308.797045,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":215.27204500000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":222.46274500000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":299.4003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":119.4003,"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":10,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468260.770833,"kali_year":5147,"ahargana":1879795.2708,"sun":{"sidereal_longitude":168.8402,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":124.6197,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":315.7794,"elapsed_within_tithi_degrees":3.7794},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":124.6197,"elapsed_within_degrees":4.6197},"yoga":{"number":23,"name":"Śubha","sum_longitude":293.4599},"karana":{"half_tithi_index":52,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.409,"elongation":44.221},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.409,"opposition_distance":135.779}},"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":"06:14","sunsetLocal":"17:58","solarNoonLocal":"12:06","dayLengthHours":11.7352194321087,"dayLengthDisplay":"11 Hours 44 Mins 07 Secs","nightLengthDisplay":"12 Hours 15 Mins 53 Secs","moonriseLocal":"02:31","moonsetLocal":"15:29","rahuKala":{"name":"Rāhu Kāla","start":"09:10","end":"10:38","startHours":9.17292930515583,"endHours":10.639831734169418,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:34","end":"15:02","startHours":13.573636592196593,"endHours":15.04053902121018,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:14","end":"07:42","startHours":6.239124447128655,"endHours":7.706026876142243,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:22","startHours":8.977342314620685,"endHours":9.368516295690975,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:44","end":"07:02","startHours":6.7280919234665175,"endHours":7.041031108322749,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:43","end":"12:30","startHours":11.715560182112716,"endHours":12.497908144253296,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:40","end":"05:27","startHours":4.674428522847496,"endHours":5.456776484988075,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:16","end":"06:14","startHours":5.26118949445293,"endHours":6.239124447128655,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:51","startHours":14.062604068534455,"endHours":14.844952030675035,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:46","end":"18:10","startHours":17.774343879237357,"endHours":18.174343879237355,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:58","end":"18:28","startHours":17.974343879237356,"endHours":18.463311355575218,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:43","end":"19:28","startHours":17.724343879237356,"endHours":19.474343879237356,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:43","end":"00:30","startHours":23.715560182112718,"endHours":24.497908144253294,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:14","end":"07:42","startHours":6.239124447128655,"endHours":7.706026876142243,"quality":"inauspicious"},{"name":"Śubha","start":"07:42","end":"09:10","startHours":7.706026876142243,"endHours":9.17292930515583,"quality":"auspicious"},{"name":"Roga","start":"09:10","end":"10:38","startHours":9.17292930515583,"endHours":10.639831734169418,"quality":"inauspicious"},{"name":"Udveg","start":"10:38","end":"12:06","startHours":10.639831734169418,"endHours":12.106734163183006,"quality":"inauspicious"},{"name":"Chala","start":"12:06","end":"13:34","startHours":12.106734163183006,"endHours":13.573636592196593,"quality":"neutral"},{"name":"Labha","start":"13:34","end":"15:02","startHours":13.573636592196593,"endHours":15.04053902121018,"quality":"auspicious"},{"name":"Amṛta","start":"15:02","end":"16:30","startHours":15.04053902121018,"endHours":16.50744145022377,"quality":"auspicious"},{"name":"Kāla","start":"16:30","end":"17:58","startHours":16.50744145022377,"endHours":17.974343879237356,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:58","end":"19:30","startHours":17.974343879237356,"endHours":19.50744145022377,"quality":"auspicious"},{"name":"Amṛta","start":"19:30","end":"21:02","startHours":19.50744145022377,"endHours":21.04053902121018,"quality":"auspicious"},{"name":"Kāla","start":"21:02","end":"22:34","startHours":21.04053902121018,"endHours":22.573636592196593,"quality":"inauspicious"},{"name":"Śubha","start":"22:34","end":"00:06","startHours":22.573636592196593,"endHours":24.106734163183006,"quality":"auspicious"},{"name":"Roga","start":"00:06","end":"01:38","startHours":24.106734163183006,"endHours":25.63983173416942,"quality":"inauspicious"},{"name":"Udveg","start":"01:38","end":"03:10","startHours":25.63983173416942,"endHours":27.172929305155833,"quality":"inauspicious"},{"name":"Chala","start":"03:10","end":"04:42","startHours":27.172929305155833,"endHours":28.706026876142243,"quality":"neutral"},{"name":"Labha","start":"04:42","end":"06:14","startHours":28.706026876142243,"endHours":30.239124447128656,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:14","end":"07:14","startHours":6.239124447128655,"endHours":7.239124447128655,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:14","end":"08:14","startHours":7.239124447128655,"endHours":8.239124447128656,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:14","end":"09:14","startHours":8.239124447128656,"endHours":9.239124447128656,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:14","end":"10:14","startHours":9.239124447128656,"endHours":10.239124447128656,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:14","end":"11:14","startHours":10.239124447128656,"endHours":11.239124447128656,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:14","end":"12:14","startHours":11.239124447128656,"endHours":12.239124447128656,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:14","end":"13:14","startHours":12.239124447128656,"endHours":13.239124447128656,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:14","end":"14:14","startHours":13.239124447128656,"endHours":14.239124447128656,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:14","end":"15:14","startHours":14.239124447128656,"endHours":15.239124447128656,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:14","end":"16:14","startHours":15.239124447128656,"endHours":16.239124447128656,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:14","end":"17:14","startHours":16.239124447128656,"endHours":17.239124447128656,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:14","end":"18:14","startHours":17.239124447128656,"endHours":18.239124447128656,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:14","end":"19:14","startHours":18.239124447128656,"endHours":19.239124447128656,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:14","end":"20:14","startHours":19.239124447128656,"endHours":20.239124447128656,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:14","end":"21:14","startHours":20.239124447128656,"endHours":21.239124447128656,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:14","end":"22:14","startHours":21.239124447128656,"endHours":22.239124447128656,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:14","end":"23:14","startHours":22.239124447128656,"endHours":23.239124447128656,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:14","end":"00:14","startHours":23.239124447128656,"endHours":24.239124447128656,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:14","end":"01:14","startHours":24.239124447128656,"endHours":25.239124447128656,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:14","end":"02:14","startHours":25.239124447128656,"endHours":26.239124447128656,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:14","end":"03:14","startHours":26.239124447128656,"endHours":27.239124447128656,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:14","end":"04:14","startHours":27.239124447128656,"endHours":28.239124447128656,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:14","end":"05:14","startHours":28.239124447128656,"endHours":29.239124447128656,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:14","end":"06:14","startHours":29.239124447128656,"endHours":30.239124447128656,"planetary_lord":"Mercury"}],"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":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-5.594281178702928,"eotMinutes":12.958750209019716,"ayanamsa":24.4923}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Dvādaśī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 October 7, 2045 CE · Vṛndāvana · Vidhyamitra","description":"October 7, 2045 CE for Vṛndāvana: Kṛṣṇa Dvādaśī, sūryodaya 06:14, sūryāsta 17:58.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2045-10-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2045-10-07","sa":"https://sa.vidhyamitra.com/city/vrindavan/2045-10-07","hi":"https://hi.vidhyamitra.com/city/vrindavan/2045-10-07","x-default":"https://vidhyamitra.com/city/vrindavan/2045-10-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T01:48:21.748Z","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":"2026-05-31T01:48:21.748Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T01:48:21.748Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}