{"id":"vidhyamitra:city-day:solapur:2045-01-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/solapur/2045-01-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-01-29","date_display":"January 29, 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":1,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468009.770833,"kali_year":5146,"ahargana":1879544.2708,"sun":{"sidereal_longitude":284.9329,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":53.8533,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":128.9204,"elapsed_within_tithi_degrees":8.9204},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":53.8533,"elapsed_within_degrees":0.52},"yoga":{"number":26,"name":"Indra","sum_longitude":338.7863},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":1,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468009.770833,"ahargana":1879544.2708,"kali_year":5146,"ayanamsa_lahiri":24.4827,"grahas":{"sun":{"sidereal_longitude":285.04303500000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"moon":{"sidereal_longitude":51.207735000000014,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false,"latitude":4.4148},"mars":{"sidereal_longitude":305.563435,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":280.00493499999993,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":292.57413500000007,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"venus":{"sidereal_longitude":272.4934350000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":224.31733499999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":312.6995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":132.6995,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":1,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468009.770833,"kali_year":5146,"ahargana":1879544.2708,"sun":{"sidereal_longitude":284.9329,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":53.8533,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":128.9204,"elapsed_within_tithi_degrees":8.9204},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":53.8533,"elapsed_within_degrees":0.52},"yoga":{"number":26,"name":"Indra","sum_longitude":338.7863},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.415,"elongation":128.92},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.415,"opposition_distance":51.08}},"eclipse_window_40days":[{"offset_days":19,"type":"solar","occurs":true,"moon_latitude":-0.502,"elongation":0.987}]},"city":{"slug":"solapur","name":"Solapur, Maharashtra","lat":17.6599,"lon":75.9064,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"solapur","name":"Solapur, Maharashtra","lat":17.6599,"lon":75.9064,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"sunriseLocal":"06:59","sunsetLocal":"18:20","solarNoonLocal":"12:40","dayLengthHours":11.337672073659284,"dayLengthDisplay":"11 Hours 20 Mins 16 Secs","nightLengthDisplay":"12 Hours 39 Mins 44 Secs","moonriseLocal":"14:31","moonsetLocal":"03:37","rahuKala":{"name":"Rāhu Kāla","start":"16:55","end":"18:20","startHours":16.910735727167467,"endHours":18.327944736374878,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:40","end":"14:05","startHours":12.659108699545236,"endHours":14.076317708752647,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:30","end":"16:55","startHours":15.493526717960057,"endHours":16.910735727167467,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"10:01","startHours":9.63572947990276,"endHours":10.013651882358069,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:28","end":"07:46","startHours":7.46267566578473,"endHours":7.765013587748978,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:17","end":"13:02","startHours":12.281186297089926,"endHours":13.037031102000546,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:29","end":"06:14","startHours":5.478583052894356,"endHours":6.234427857804975,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:03","end":"06:59","startHours":6.04546665657732,"endHours":6.9902726627155936,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:33","end":"15:18","startHours":14.548720711821783,"endHours":15.304565516732403,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:08","end":"18:32","startHours":18.12794473637488,"endHours":18.527944736374877,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:20","end":"18:48","startHours":18.327944736374878,"endHours":18.800347739444014,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:05","end":"19:50","startHours":18.077944736374878,"endHours":19.827944736374878,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:17","end":"01:02","startHours":24.281186297089928,"endHours":25.037031102000544,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:59","end":"08:24","startHours":6.9902726627155936,"endHours":8.407481671923005,"quality":"inauspicious"},{"name":"Chala","start":"08:24","end":"09:49","startHours":8.407481671923005,"endHours":9.824690681130415,"quality":"neutral"},{"name":"Labha","start":"09:49","end":"11:15","startHours":9.824690681130415,"endHours":11.241899690337824,"quality":"auspicious"},{"name":"Amṛta","start":"11:15","end":"12:40","startHours":11.241899690337824,"endHours":12.659108699545236,"quality":"auspicious"},{"name":"Kāla","start":"12:40","end":"14:05","startHours":12.659108699545236,"endHours":14.076317708752647,"quality":"inauspicious"},{"name":"Śubha","start":"14:05","end":"15:30","startHours":14.076317708752647,"endHours":15.493526717960057,"quality":"auspicious"},{"name":"Roga","start":"15:30","end":"16:55","startHours":15.493526717960057,"endHours":16.910735727167467,"quality":"inauspicious"},{"name":"Udveg","start":"16:55","end":"18:20","startHours":16.910735727167467,"endHours":18.327944736374878,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:20","end":"19:55","startHours":18.327944736374878,"endHours":19.910735727167467,"quality":"auspicious"},{"name":"Roga","start":"19:55","end":"21:30","startHours":19.910735727167467,"endHours":21.49352671796006,"quality":"inauspicious"},{"name":"Udveg","start":"21:30","end":"23:05","startHours":21.49352671796006,"endHours":23.076317708752647,"quality":"inauspicious"},{"name":"Chala","start":"23:05","end":"00:40","startHours":23.076317708752647,"endHours":24.659108699545236,"quality":"neutral"},{"name":"Labha","start":"00:40","end":"02:15","startHours":24.659108699545236,"endHours":26.241899690337824,"quality":"auspicious"},{"name":"Amṛta","start":"02:15","end":"03:49","startHours":26.241899690337824,"endHours":27.824690681130413,"quality":"auspicious"},{"name":"Kāla","start":"03:49","end":"05:24","startHours":27.824690681130413,"endHours":29.407481671923005,"quality":"inauspicious"},{"name":"Śubha","start":"05:24","end":"06:59","startHours":29.407481671923005,"endHours":30.990272662715594,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:59","end":"07:59","startHours":6.9902726627155936,"endHours":7.9902726627155936,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:59","end":"08:59","startHours":7.9902726627155936,"endHours":8.990272662715594,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:59","end":"09:59","startHours":8.990272662715594,"endHours":9.990272662715594,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:59","end":"10:59","startHours":9.990272662715594,"endHours":10.990272662715594,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:59","end":"11:59","startHours":10.990272662715594,"endHours":11.990272662715594,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:59","end":"12:59","startHours":11.990272662715594,"endHours":12.990272662715594,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:59","end":"13:59","startHours":12.990272662715594,"endHours":13.990272662715594,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:59","end":"14:59","startHours":13.990272662715594,"endHours":14.990272662715594,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:59","end":"15:59","startHours":14.990272662715594,"endHours":15.990272662715594,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:59","end":"16:59","startHours":15.990272662715594,"endHours":16.990272662715594,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:59","end":"17:59","startHours":16.990272662715594,"endHours":17.990272662715594,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:59","end":"18:59","startHours":17.990272662715594,"endHours":18.990272662715594,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:59","end":"19:59","startHours":18.990272662715594,"endHours":19.990272662715594,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:59","end":"20:59","startHours":19.990272662715594,"endHours":20.990272662715594,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:59","end":"21:59","startHours":20.990272662715594,"endHours":21.990272662715594,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:59","end":"22:59","startHours":21.990272662715594,"endHours":22.990272662715594,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:59","end":"23:59","startHours":22.990272662715594,"endHours":23.990272662715594,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:59","end":"00:59","startHours":23.990272662715594,"endHours":24.990272662715594,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:59","end":"01:59","startHours":24.990272662715594,"endHours":25.990272662715594,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:59","end":"02:59","startHours":25.990272662715594,"endHours":26.990272662715594,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:59","end":"03:59","startHours":26.990272662715594,"endHours":27.990272662715594,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:59","end":"04:59","startHours":27.990272662715594,"endHours":28.990272662715594,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:59","end":"05:59","startHours":28.990272662715594,"endHours":29.990272662715594,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:59","end":"06:59","startHours":29.990272662715594,"endHours":30.990272662715594,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-17.86567521719958,"eotMinutes":-13.172121972714217,"ayanamsa":24.4827}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Ekādaśī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"jaya-ekadashi","name":"Jayā Ekādaśī","name_sanskrit":"जया एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Removes pretatva (ghost-state); grants victory.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Māgha"},"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":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"solapur"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 29, 2045 CE · Solapur, Maharashtra · Vidhyamitra","description":"January 29, 2045 CE for Solapur, Maharashtra: Śukla Ekādaśī, sūryodaya 06:59, sūryāsta 18:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/solapur/2045-01-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/solapur/2045-01-29","sa":"https://sa.vidhyamitra.com/city/solapur/2045-01-29","hi":"https://hi.vidhyamitra.com/city/solapur/2045-01-29","x-default":"https://vidhyamitra.com/city/solapur/2045-01-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T00:37:40.431Z","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":"2026-06-03T00:37:40.431Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T00:37:40.431Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}