{"id":"vidhyamitra:city-day:ujjain:2050-10-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/2050-10-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-10-04","date_display":"October 4, 2050 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2050,"month":10,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470083.770833,"kali_year":5152,"ahargana":1881618.2708,"sun":{"sidereal_longitude":165.5934,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":29.4866,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":223.8933,"elapsed_within_tithi_degrees":7.8933},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":29.4866,"elapsed_within_degrees":2.82},"yoga":{"number":15,"name":"Vajra","sum_longitude":195.08},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2050,"month":10,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470083.770833,"ahargana":1881618.2708,"kali_year":5152,"ayanamsa_lahiri":24.562,"grahas":{"sun":{"sidereal_longitude":166.461593,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"moon":{"sidereal_longitude":31.764993000000004,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false,"latitude":-0.5227},"mars":{"sidereal_longitude":294.10359300000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":163.37759299999993,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":122.068693,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":184.983293,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":true},"saturn":{"sidereal_longitude":277.02339299999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":202.809,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":22.809,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2050,"month":10,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470083.770833,"kali_year":5152,"ahargana":1881618.2708,"sun":{"sidereal_longitude":165.5934,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":29.4866,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":223.8933,"elapsed_within_tithi_degrees":7.8933},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":29.4866,"elapsed_within_degrees":2.82},"yoga":{"number":15,"name":"Vajra","sum_longitude":195.08},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.523,"elongation":136.107},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.523,"opposition_distance":43.893}},"eclipse_window_40days":[]},"city":{"slug":"ujjain","name":"Ujjain","lat":23.1765,"lon":75.7885,"tz_offset_hours":5.5,"state":"Madhya Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"ujjain","name":"Ujjain","lat":23.1765,"lon":75.7885,"tz_offset_hours":5.5,"state":"Madhya Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:19","sunsetLocal":"18:11","solarNoonLocal":"12:15","dayLengthHours":11.871703621313486,"dayLengthDisplay":"11 Hours 52 Mins 18 Secs","nightLengthDisplay":"12 Hours 07 Mins 42 Secs","moonriseLocal":"20:39","moonsetLocal":"09:53","rahuKala":{"name":"Rāhu Kāla","start":"15:13","end":"16:42","startHours":15.213741518866868,"endHours":16.697704471531054,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:17","end":"10:46","startHours":9.277889708210125,"endHours":10.761852660874311,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:15","end":"13:44","startHours":12.245815613538497,"endHours":13.729778566202683,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:29","startHours":9.080027981188234,"endHours":9.475751435232016,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:48","end":"07:07","startHours":6.804618120436482,"endHours":7.121196883671508,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:38","startHours":11.850092159494714,"endHours":12.64153906758228,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:44","end":"05:31","startHours":4.7270699867066215,"endHours":5.518516894794187,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:19","end":"06:19","startHours":5.320655167772296,"endHours":6.309963802881753,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"15:01","startHours":14.22443288375741,"endHours":15.015879791844977,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:59","end":"18:23","startHours":17.98166742419524,"endHours":18.38166742419524,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:11","end":"18:41","startHours":18.18166742419524,"endHours":18.67632174174997,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:56","end":"19:41","startHours":17.93166742419524,"endHours":19.68166742419524,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:38","startHours":23.850092159494714,"endHours":24.64153906758228,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:19","end":"07:48","startHours":6.309963802881753,"endHours":7.793926755545939,"quality":"inauspicious"},{"name":"Udveg","start":"07:48","end":"09:17","startHours":7.793926755545939,"endHours":9.277889708210125,"quality":"inauspicious"},{"name":"Chala","start":"09:17","end":"10:46","startHours":9.277889708210125,"endHours":10.761852660874311,"quality":"neutral"},{"name":"Labha","start":"10:46","end":"12:15","startHours":10.761852660874311,"endHours":12.245815613538497,"quality":"auspicious"},{"name":"Amṛta","start":"12:15","end":"13:44","startHours":12.245815613538497,"endHours":13.729778566202683,"quality":"auspicious"},{"name":"Kāla","start":"13:44","end":"15:13","startHours":13.729778566202683,"endHours":15.213741518866868,"quality":"inauspicious"},{"name":"Śubha","start":"15:13","end":"16:42","startHours":15.213741518866868,"endHours":16.697704471531054,"quality":"auspicious"},{"name":"Roga","start":"16:42","end":"18:11","startHours":16.697704471531054,"endHours":18.18166742419524,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:11","end":"19:42","startHours":18.18166742419524,"endHours":19.697704471531054,"quality":"inauspicious"},{"name":"Śubha","start":"19:42","end":"21:13","startHours":19.697704471531054,"endHours":21.21374151886687,"quality":"auspicious"},{"name":"Roga","start":"21:13","end":"22:44","startHours":21.21374151886687,"endHours":22.729778566202683,"quality":"inauspicious"},{"name":"Udveg","start":"22:44","end":"00:15","startHours":22.729778566202683,"endHours":24.245815613538497,"quality":"inauspicious"},{"name":"Chala","start":"00:15","end":"01:46","startHours":24.245815613538497,"endHours":25.76185266087431,"quality":"neutral"},{"name":"Labha","start":"01:46","end":"03:17","startHours":25.76185266087431,"endHours":27.277889708210125,"quality":"auspicious"},{"name":"Amṛta","start":"03:17","end":"04:48","startHours":27.277889708210125,"endHours":28.79392675554594,"quality":"auspicious"},{"name":"Kāla","start":"04:48","end":"06:19","startHours":28.79392675554594,"endHours":30.309963802881754,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:19","end":"07:19","startHours":6.309963802881753,"endHours":7.309963802881753,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:19","end":"08:19","startHours":7.309963802881753,"endHours":8.309963802881754,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:19","end":"09:19","startHours":8.309963802881754,"endHours":9.309963802881754,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:19","end":"10:19","startHours":9.309963802881754,"endHours":10.309963802881754,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:19","end":"11:19","startHours":10.309963802881754,"endHours":11.309963802881754,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:19","end":"12:19","startHours":11.309963802881754,"endHours":12.309963802881754,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:19","end":"13:19","startHours":12.309963802881754,"endHours":13.309963802881754,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:19","end":"14:19","startHours":13.309963802881754,"endHours":14.309963802881754,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:19","end":"15:19","startHours":14.309963802881754,"endHours":15.309963802881754,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:19","end":"16:19","startHours":15.309963802881754,"endHours":16.309963802881754,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:19","end":"17:19","startHours":16.309963802881754,"endHours":17.309963802881754,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:19","end":"18:19","startHours":17.309963802881754,"endHours":18.309963802881754,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:19","end":"19:19","startHours":18.309963802881754,"endHours":19.309963802881754,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:19","end":"20:19","startHours":19.309963802881754,"endHours":20.309963802881754,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:19","end":"21:19","startHours":20.309963802881754,"endHours":21.309963802881754,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:19","end":"22:19","startHours":21.309963802881754,"endHours":22.309963802881754,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:19","end":"23:19","startHours":22.309963802881754,"endHours":23.309963802881754,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:19","end":"00:19","startHours":23.309963802881754,"endHours":24.309963802881754,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:19","end":"01:19","startHours":24.309963802881754,"endHours":25.309963802881754,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:19","end":"02:19","startHours":25.309963802881754,"endHours":26.309963802881754,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:19","end":"03:19","startHours":26.309963802881754,"endHours":27.309963802881754,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:19","end":"04:19","startHours":27.309963802881754,"endHours":28.309963802881754,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:19","end":"05:19","startHours":28.309963802881754,"endHours":29.309963802881754,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:19","end":"06:19","startHours":29.309963802881754,"endHours":30.309963802881754,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"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":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-4.361652439232899,"eotMinutes":12.09706318769023,"ayanamsa":24.562}},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"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 Caturthī · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Dedicated festival walk for Aṅgāraka Caturthī (Tuesday Caturthī) · Saṅkaṣṭī Caturthī is not live yet; Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"ujjain"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 4, 2050 CE · Ujjain · Vidhyamitra","description":"October 4, 2050 CE for Ujjain: Kṛṣṇa Caturthī, sūryodaya 06:19, sūryāsta 18:11.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/2050-10-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/2050-10-04","sa":"https://sa.vidhyamitra.com/city/ujjain/2050-10-04","hi":"https://hi.vidhyamitra.com/city/ujjain/2050-10-04","x-default":"https://vidhyamitra.com/city/ujjain/2050-10-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T17:48:24.366Z","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":"2026-09-11T17:48:24.366Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T17:48:24.366Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}