{"id":"vidhyamitra:city-day:thane:2045-12-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/thane/2045-12-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-12-04","date_display":"December 4, 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":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468318.770833,"kali_year":5147,"ahargana":1879853.2708,"sun":{"sidereal_longitude":227.196,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":171.8276,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":304.6315,"elapsed_within_tithi_degrees":4.6315},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":171.8276,"elapsed_within_degrees":11.8276},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":39.0236},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":12,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468318.770833,"ahargana":1879853.2708,"kali_year":5147,"ayanamsa_lahiri":24.4945,"grahas":{"sun":{"sidereal_longitude":227.78522900000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":172.034629,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false,"latitude":-3.7074},"mars":{"sidereal_longitude":156.64322900000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":206.77222900000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":310.231129,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":262.69742900000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":228.65792899999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":296.3272,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":116.3272,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2045,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468318.770833,"kali_year":5147,"ahargana":1879853.2708,"sun":{"sidereal_longitude":227.196,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":171.8276,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":304.6315,"elapsed_within_tithi_degrees":4.6315},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":171.8276,"elapsed_within_degrees":11.8276},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":39.0236},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.707,"elongation":55.368},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.707,"opposition_distance":124.632}},"eclipse_window_40days":[]},"city":{"slug":"thane","name":"Thane, Maharashtra","lat":19.2183,"lon":72.9781,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"thane","name":"Thane, Maharashtra","lat":19.2183,"lon":72.9781,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"sunriseLocal":"06:58","sunsetLocal":"18:00","solarNoonLocal":"12:29","dayLengthHours":11.034315929376659,"dayLengthDisplay":"11 Hours 02 Mins 04 Secs","nightLengthDisplay":"12 Hours 57 Mins 56 Secs","moonriseLocal":"02:53","moonsetLocal":"14:40","rahuKala":{"name":"Rāhu Kāla","start":"08:21","end":"09:44","startHours":8.347577784248703,"endHours":9.726867275420785,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:06","end":"12:29","startHours":11.106156766592868,"endHours":12.485446257764949,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:52","end":"15:15","startHours":13.864735748937033,"endHours":15.244025240109114,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:33","end":"09:55","startHours":9.542962009931173,"endHours":9.910772540910395,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:26","end":"07:43","startHours":7.428051456800648,"endHours":7.722299881584026,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:51","startHours":12.117635726785727,"endHours":12.85325678874417,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:30","end":"06:14","startHours":5.4970461691597325,"endHours":6.232667231118176,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:03","end":"06:58","startHours":6.048761965628565,"endHours":6.96828829307662,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:19","end":"15:04","startHours":14.32449891266106,"endHours":15.060119974619504,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:48","end":"18:12","startHours":17.80260422245328,"endHours":18.202604222453278,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:00","end":"18:28","startHours":18.00260422245328,"endHours":18.462367386177306,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:45","end":"19:30","startHours":17.75260422245328,"endHours":19.50260422245328,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:51","startHours":24.117635726785725,"endHours":24.853256788744172,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:58","end":"08:21","startHours":6.96828829307662,"endHours":8.347577784248703,"quality":"auspicious"},{"name":"Kāla","start":"08:21","end":"09:44","startHours":8.347577784248703,"endHours":9.726867275420785,"quality":"inauspicious"},{"name":"Śubha","start":"09:44","end":"11:06","startHours":9.726867275420785,"endHours":11.106156766592868,"quality":"auspicious"},{"name":"Roga","start":"11:06","end":"12:29","startHours":11.106156766592868,"endHours":12.485446257764949,"quality":"inauspicious"},{"name":"Udveg","start":"12:29","end":"13:52","startHours":12.485446257764949,"endHours":13.864735748937033,"quality":"inauspicious"},{"name":"Chala","start":"13:52","end":"15:15","startHours":13.864735748937033,"endHours":15.244025240109114,"quality":"neutral"},{"name":"Labha","start":"15:15","end":"16:37","startHours":15.244025240109114,"endHours":16.623314731281198,"quality":"auspicious"},{"name":"Amṛta","start":"16:37","end":"18:00","startHours":16.623314731281198,"endHours":18.00260422245328,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:00","end":"19:37","startHours":18.00260422245328,"endHours":19.623314731281198,"quality":"neutral"},{"name":"Labha","start":"19:37","end":"21:15","startHours":19.623314731281198,"endHours":21.244025240109114,"quality":"auspicious"},{"name":"Amṛta","start":"21:15","end":"22:52","startHours":21.244025240109114,"endHours":22.864735748937033,"quality":"auspicious"},{"name":"Kāla","start":"22:52","end":"00:29","startHours":22.864735748937033,"endHours":24.48544625776495,"quality":"inauspicious"},{"name":"Śubha","start":"00:29","end":"02:06","startHours":24.48544625776495,"endHours":26.106156766592868,"quality":"auspicious"},{"name":"Roga","start":"02:06","end":"03:44","startHours":26.106156766592868,"endHours":27.726867275420787,"quality":"inauspicious"},{"name":"Udveg","start":"03:44","end":"05:21","startHours":27.726867275420787,"endHours":29.347577784248703,"quality":"inauspicious"},{"name":"Chala","start":"05:21","end":"06:58","startHours":29.347577784248703,"endHours":30.96828829307662,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:58","end":"07:58","startHours":6.96828829307662,"endHours":7.96828829307662,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:58","end":"08:58","startHours":7.96828829307662,"endHours":8.96828829307662,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:58","end":"09:58","startHours":8.96828829307662,"endHours":9.96828829307662,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:58","end":"10:58","startHours":9.96828829307662,"endHours":10.96828829307662,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:58","end":"11:58","startHours":10.96828829307662,"endHours":11.96828829307662,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:58","end":"12:58","startHours":11.96828829307662,"endHours":12.96828829307662,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:58","end":"13:58","startHours":12.96828829307662,"endHours":13.96828829307662,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:58","end":"14:58","startHours":13.96828829307662,"endHours":14.96828829307662,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:58","end":"15:58","startHours":14.96828829307662,"endHours":15.96828829307662,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:58","end":"16:58","startHours":15.96828829307662,"endHours":16.96828829307662,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:58","end":"17:58","startHours":16.96828829307662,"endHours":17.96828829307662,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:58","end":"18:58","startHours":17.96828829307662,"endHours":18.96828829307662,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:58","end":"19:58","startHours":18.96828829307662,"endHours":19.96828829307662,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:58","end":"20:58","startHours":19.96828829307662,"endHours":20.96828829307662,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:58","end":"21:58","startHours":20.96828829307662,"endHours":21.96828829307662,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:58","end":"22:58","startHours":21.96828829307662,"endHours":22.96828829307662,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:58","end":"23:58","startHours":22.96828829307662,"endHours":23.96828829307662,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:58","end":"00:58","startHours":23.96828829307662,"endHours":24.96828829307662,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:58","end":"01:58","startHours":24.96828829307662,"endHours":25.96828829307662,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:58","end":"02:58","startHours":25.96828829307662,"endHours":26.96828829307662,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:58","end":"03:58","startHours":26.96828829307662,"endHours":27.96828829307662,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:58","end":"04:58","startHours":27.96828829307662,"endHours":28.96828829307662,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:58","end":"05:58","startHours":28.96828829307662,"endHours":29.96828829307662,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:58","end":"06:58","startHours":29.96828829307662,"endHours":30.96828829307662,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.263184709951748,"eotMinutes":8.960824534103129,"ayanamsa":24.4945}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Ekādaśī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"saphala-ekadashi","name":"Saphalā Ekādaśī","name_sanskrit":"सफला एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Renders all undertakings fruitful (saphala).","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Mārgaśīrṣa"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"thane"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 4, 2045 CE · Thane, Maharashtra · Vidhyamitra","description":"December 4, 2045 CE for Thane, Maharashtra: Kṛṣṇa Ekādaśī, sūryodaya 06:58, sūryāsta 18:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/thane/2045-12-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/thane/2045-12-04","sa":"https://sa.vidhyamitra.com/city/thane/2045-12-04","hi":"https://hi.vidhyamitra.com/city/thane/2045-12-04","x-default":"https://vidhyamitra.com/city/thane/2045-12-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T03:04:40.717Z","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":"2026-06-03T03:04:40.717Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T03:04:40.717Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}