{"id":"vidhyamitra:city-day:ujjain:2045-12-28:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/2045-12-28","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-12-28","date_display":"December 28, 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":"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":2045,"month":12,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468342.770833,"kali_year":5147,"ahargana":1879877.2708,"sun":{"sidereal_longitude":251.8142,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":123.2664,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":231.4521,"elapsed_within_tithi_degrees":3.4521},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":123.2664,"elapsed_within_degrees":3.2664},"yoga":{"number":2,"name":"Prīti","sum_longitude":15.0806},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":28,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468342.770833,"ahargana":1879877.2708,"kali_year":5147,"ayanamsa_lahiri":24.4955,"grahas":{"sun":{"sidereal_longitude":252.195512,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"moon":{"sidereal_longitude":126.30771199999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false,"latitude":-0.642},"mars":{"sidereal_longitude":168.99201199999993,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":240.53461200000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":313.70671200000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":258.808212,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":true},"saturn":{"sidereal_longitude":231.46511199999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":295.0556,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":115.0556,"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":"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":2045,"month":12,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468342.770833,"kali_year":5147,"ahargana":1879877.2708,"sun":{"sidereal_longitude":251.8142,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":123.2664,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":231.4521,"elapsed_within_tithi_degrees":3.4521},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":123.2664,"elapsed_within_degrees":3.2664},"yoga":{"number":2,"name":"Prīti","sum_longitude":15.0806},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.642,"elongation":128.548},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.642,"opposition_distance":51.452}},"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":"07:07","sunsetLocal":"17:50","solarNoonLocal":"12:29","dayLengthHours":10.719193987759269,"dayLengthDisplay":"10 Hours 43 Mins 09 Secs","nightLengthDisplay":"13 Hours 16 Mins 51 Secs","moonriseLocal":"21:43","moonsetLocal":"10:27","rahuKala":{"name":"Rāhu Kāla","start":"13:49","end":"15:10","startHours":13.818784322874698,"endHours":15.158683571344607,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:07","end":"08:28","startHours":7.1192880805251555,"endHours":8.459187328995064,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:48","end":"11:08","startHours":9.799086577464973,"endHours":11.138985825934881,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:59","startHours":9.620433344335652,"endHours":9.977739810594294,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:51","startHours":7.565921163348459,"endHours":7.8517663363553725,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:50","startHours":12.121578608146148,"endHours":12.836191540663432,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:41","end":"06:24","startHours":5.690062215490586,"endHours":6.404675148007871,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:14","end":"07:07","startHours":6.22602191487855,"endHours":7.1192880805251555,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:16","end":"14:59","startHours":14.265417405698003,"endHours":14.980030338215288,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:38","end":"18:02","startHours":17.638482068284425,"endHours":18.038482068284424,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:50","end":"18:17","startHours":17.838482068284424,"endHours":18.28511515110773,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:35","end":"19:20","startHours":17.588482068284424,"endHours":19.338482068284424,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:50","startHours":24.121578608146148,"endHours":24.83619154066343,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:07","end":"08:28","startHours":7.1192880805251555,"endHours":8.459187328995064,"quality":"auspicious"},{"name":"Roga","start":"08:28","end":"09:48","startHours":8.459187328995064,"endHours":9.799086577464973,"quality":"inauspicious"},{"name":"Udveg","start":"09:48","end":"11:08","startHours":9.799086577464973,"endHours":11.138985825934881,"quality":"inauspicious"},{"name":"Chala","start":"11:08","end":"12:29","startHours":11.138985825934881,"endHours":12.47888507440479,"quality":"neutral"},{"name":"Labha","start":"12:29","end":"13:49","startHours":12.47888507440479,"endHours":13.818784322874698,"quality":"auspicious"},{"name":"Amṛta","start":"13:49","end":"15:10","startHours":13.818784322874698,"endHours":15.158683571344607,"quality":"auspicious"},{"name":"Kāla","start":"15:10","end":"16:30","startHours":15.158683571344607,"endHours":16.498582819814516,"quality":"inauspicious"},{"name":"Śubha","start":"16:30","end":"17:50","startHours":16.498582819814516,"endHours":17.838482068284424,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:50","end":"19:30","startHours":17.838482068284424,"endHours":19.498582819814516,"quality":"auspicious"},{"name":"Kāla","start":"19:30","end":"21:10","startHours":19.498582819814516,"endHours":21.158683571344607,"quality":"inauspicious"},{"name":"Śubha","start":"21:10","end":"22:49","startHours":21.158683571344607,"endHours":22.8187843228747,"quality":"auspicious"},{"name":"Roga","start":"22:49","end":"00:29","startHours":22.8187843228747,"endHours":24.47888507440479,"quality":"inauspicious"},{"name":"Udveg","start":"00:29","end":"02:08","startHours":24.47888507440479,"endHours":26.13898582593488,"quality":"inauspicious"},{"name":"Chala","start":"02:08","end":"03:48","startHours":26.13898582593488,"endHours":27.799086577464973,"quality":"neutral"},{"name":"Labha","start":"03:48","end":"05:28","startHours":27.799086577464973,"endHours":29.459187328995064,"quality":"auspicious"},{"name":"Amṛta","start":"05:28","end":"07:07","startHours":29.459187328995064,"endHours":31.119288080525155,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:07","end":"08:07","startHours":7.1192880805251555,"endHours":8.119288080525155,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:07","end":"09:07","startHours":8.119288080525155,"endHours":9.119288080525155,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:07","end":"10:07","startHours":9.119288080525155,"endHours":10.119288080525155,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:07","end":"11:07","startHours":10.119288080525155,"endHours":11.119288080525155,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:07","end":"12:07","startHours":11.119288080525155,"endHours":12.119288080525155,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:07","end":"13:07","startHours":12.119288080525155,"endHours":13.119288080525155,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:07","end":"14:07","startHours":13.119288080525155,"endHours":14.119288080525155,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:07","end":"15:07","startHours":14.119288080525155,"endHours":15.119288080525155,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:07","end":"16:07","startHours":15.119288080525155,"endHours":16.119288080525155,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:07","end":"17:07","startHours":16.119288080525155,"endHours":17.119288080525155,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:07","end":"18:07","startHours":17.119288080525155,"endHours":18.119288080525155,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:07","end":"19:07","startHours":18.119288080525155,"endHours":19.119288080525155,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:07","end":"20:07","startHours":19.119288080525155,"endHours":20.119288080525155,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:07","end":"21:07","startHours":20.119288080525155,"endHours":21.119288080525155,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:07","end":"22:07","startHours":21.119288080525155,"endHours":22.119288080525155,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:07","end":"23:07","startHours":22.119288080525155,"endHours":23.119288080525155,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:07","end":"00:07","startHours":23.119288080525155,"endHours":24.119288080525155,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:07","end":"01:07","startHours":24.119288080525155,"endHours":25.119288080525155,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:07","end":"02:07","startHours":25.119288080525155,"endHours":26.119288080525155,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:07","end":"03:07","startHours":26.119288080525155,"endHours":27.119288080525155,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:07","end":"04:07","startHours":27.119288080525155,"endHours":28.119288080525155,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:07","end":"05:07","startHours":28.119288080525155,"endHours":29.119288080525155,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:07","end":"06:07","startHours":29.119288080525155,"endHours":30.119288080525155,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:07","end":"07:07","startHours":30.119288080525155,"endHours":31.119288080525155,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"West","rahuVasa":"North-West","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.26743853805508,"eotMinutes":-1.8871044642874448,"ayanamsa":24.4955}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Pañcamī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 December 28, 2045 CE · Ujjain · Vidhyamitra","description":"December 28, 2045 CE for Ujjain: Kṛṣṇa Pañcamī, sūryodaya 07:07, sūryāsta 17:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/2045-12-28","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/2045-12-28","sa":"https://sa.vidhyamitra.com/city/ujjain/2045-12-28","hi":"https://hi.vidhyamitra.com/city/ujjain/2045-12-28","x-default":"https://vidhyamitra.com/city/ujjain/2045-12-28"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-12T00:06:41.812Z","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":"2026-09-12T00:06:41.813Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-12T00:06:41.813Z","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"}}}