{"id":"vidhyamitra:city-day:rajkot:2029-12-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rajkot/2029-12-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2029-12-04","date_display":"December 4, 2029 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":2029,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462474.770833,"kali_year":5131,"ahargana":1874009.2708,"sun":{"sidereal_longitude":227.3392,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":206.8271,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":339.4879,"elapsed_within_tithi_degrees":3.4879},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":206.8271,"elapsed_within_degrees":6.8271},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":74.1664},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"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":2029,"month":12,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2462474.770833,"ahargana":1874009.2708,"kali_year":5131,"ayanamsa_lahiri":24.271,"grahas":{"sun":{"sidereal_longitude":227.88931300000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":205.68481300000008,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false,"latitude":-2.8389},"mars":{"sidereal_longitude":268.178313,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":245.54681299999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":200.97281299999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":266.263413,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":true},"saturn":{"sidereal_longitude":25.560013000000026,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":245.9705,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":65.9705,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":2029,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462474.770833,"kali_year":5131,"ahargana":1874009.2708,"sun":{"sidereal_longitude":227.3392,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":206.8271,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":339.4879,"elapsed_within_tithi_degrees":3.4879},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":206.8271,"elapsed_within_degrees":6.8271},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":74.1664},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.839,"elongation":20.512},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.839,"opposition_distance":159.488}},"eclipse_window_40days":[{"offset_days":17,"type":"lunar","occurs":true,"moon_latitude":-0.064,"opposition_distance":1.118}]},"city":{"slug":"rajkot","name":"Rajkot, Gujarat","lat":22.3039,"lon":70.8022,"tz_offset_hours":5.5,"state":"Gujarat","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"rajkot","name":"Rajkot, Gujarat","lat":22.3039,"lon":70.8022,"tz_offset_hours":5.5,"state":"Gujarat","country":"IN","tier":"tier-1"},"sunriseLocal":"07:13","sunsetLocal":"18:03","solarNoonLocal":"12:38","dayLengthHours":10.843385534638944,"dayLengthDisplay":"10 Hours 50 Mins 36 Secs","nightLengthDisplay":"13 Hours 09 Mins 24 Secs","moonriseLocal":"05:36","moonsetLocal":"16:42","rahuKala":{"name":"Rāhu Kāla","start":"15:20","end":"16:42","startHours":15.341352641424685,"endHours":16.696775833254552,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:55","end":"11:17","startHours":9.91965987410521,"endHours":11.275083065935078,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:38","end":"13:59","startHours":12.630506257764946,"endHours":13.985929449594813,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:44","end":"10:06","startHours":9.738936781861227,"endHours":10.100382966349192,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:57","startHours":7.660621221055431,"endHours":7.9497781686458024,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:16","end":"13:00","startHours":12.269060073276982,"endHours":12.991952442252913,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:29","startHours":5.763028752493615,"endHours":6.485921121469545,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:13","startHours":6.305198029225562,"endHours":7.208813490445475,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:10","startHours":14.43773718020477,"endHours":15.1606295491807,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:51","end":"18:15","startHours":17.85219902508442,"endHours":18.25219902508442,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:03","end":"18:30","startHours":18.05219902508442,"endHours":18.504006755694377,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:48","end":"19:33","startHours":17.80219902508442,"endHours":19.55219902508442,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:16","end":"01:00","startHours":24.269060073276986,"endHours":24.991952442252913,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:13","end":"08:34","startHours":7.208813490445475,"endHours":8.564236682275343,"quality":"inauspicious"},{"name":"Udveg","start":"08:34","end":"09:55","startHours":8.564236682275343,"endHours":9.91965987410521,"quality":"inauspicious"},{"name":"Chala","start":"09:55","end":"11:17","startHours":9.91965987410521,"endHours":11.275083065935078,"quality":"neutral"},{"name":"Labha","start":"11:17","end":"12:38","startHours":11.275083065935078,"endHours":12.630506257764946,"quality":"auspicious"},{"name":"Amṛta","start":"12:38","end":"13:59","startHours":12.630506257764946,"endHours":13.985929449594813,"quality":"auspicious"},{"name":"Kāla","start":"13:59","end":"15:20","startHours":13.985929449594813,"endHours":15.341352641424685,"quality":"inauspicious"},{"name":"Śubha","start":"15:20","end":"16:42","startHours":15.341352641424685,"endHours":16.696775833254552,"quality":"auspicious"},{"name":"Roga","start":"16:42","end":"18:03","startHours":16.696775833254552,"endHours":18.05219902508442,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:03","end":"19:42","startHours":18.05219902508442,"endHours":19.696775833254552,"quality":"inauspicious"},{"name":"Śubha","start":"19:42","end":"21:20","startHours":19.696775833254552,"endHours":21.341352641424685,"quality":"auspicious"},{"name":"Roga","start":"21:20","end":"22:59","startHours":21.341352641424685,"endHours":22.985929449594813,"quality":"inauspicious"},{"name":"Udveg","start":"22:59","end":"00:38","startHours":22.985929449594813,"endHours":24.63050625776495,"quality":"inauspicious"},{"name":"Chala","start":"00:38","end":"02:17","startHours":24.63050625776495,"endHours":26.27508306593508,"quality":"neutral"},{"name":"Labha","start":"02:17","end":"03:55","startHours":26.27508306593508,"endHours":27.91965987410521,"quality":"auspicious"},{"name":"Amṛta","start":"03:55","end":"05:34","startHours":27.91965987410521,"endHours":29.564236682275343,"quality":"auspicious"},{"name":"Kāla","start":"05:34","end":"07:13","startHours":29.564236682275343,"endHours":31.208813490445475,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:13","end":"08:13","startHours":7.208813490445475,"endHours":8.208813490445475,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:13","end":"09:13","startHours":8.208813490445475,"endHours":9.208813490445475,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:13","end":"10:13","startHours":9.208813490445475,"endHours":10.208813490445475,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:13","end":"11:13","startHours":10.208813490445475,"endHours":11.208813490445475,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:13","end":"12:13","startHours":11.208813490445475,"endHours":12.208813490445475,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:13","end":"13:13","startHours":12.208813490445475,"endHours":13.208813490445475,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:13","end":"14:13","startHours":13.208813490445475,"endHours":14.208813490445475,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:13","end":"15:13","startHours":14.208813490445475,"endHours":15.208813490445475,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:13","end":"16:13","startHours":15.208813490445475,"endHours":16.208813490445475,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:13","end":"17:13","startHours":16.208813490445475,"endHours":17.208813490445475,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:13","end":"18:13","startHours":17.208813490445475,"endHours":18.208813490445475,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:13","end":"19:13","startHours":18.208813490445475,"endHours":19.208813490445475,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:13","end":"20:13","startHours":19.208813490445475,"endHours":20.208813490445475,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:13","end":"21:13","startHours":20.208813490445475,"endHours":21.208813490445475,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:13","end":"22:13","startHours":21.208813490445475,"endHours":22.208813490445475,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:13","end":"23:13","startHours":22.208813490445475,"endHours":23.208813490445475,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:13","end":"00:13","startHours":23.208813490445475,"endHours":24.208813490445475,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:13","end":"01:13","startHours":24.208813490445475,"endHours":25.208813490445475,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:13","end":"02:13","startHours":25.208813490445475,"endHours":26.208813490445475,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:13","end":"03:13","startHours":26.208813490445475,"endHours":27.208813490445475,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:13","end":"04:13","startHours":27.208813490445475,"endHours":28.208813490445475,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:13","end":"05:13","startHours":28.208813490445475,"endHours":29.208813490445475,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:13","end":"06:13","startHours":29.208813490445475,"endHours":30.208813490445475,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:13","end":"07:13","startHours":30.208813490445475,"endHours":31.208813490445475,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","rahuVasa":"North","anandadiYoga":{"name":"Mātaṇga","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.247513935505474,"eotMinutes":8.960824534103129,"ayanamsa":24.271}},"calendars":{"vikram_samvat":2086,"vikram_samvatsara":"Dundubhi","saka_samvat":1951,"saka_samvatsara":"Saumya","bengali_samvat":1436,"malayalam_era":1205,"nanakshahi_year":560,"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 Caturdaśī · Vikram 2086 Dundubhi · Śaka 1951 Saumya"},"festivals":[{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"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 Māsika Śivarātri is not live yet; Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"rajkot"},"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, 2029 CE · Rajkot, Gujarat · Vidhyamitra","description":"December 4, 2029 CE for Rajkot, Gujarat: Kṛṣṇa Caturdaśī, sūryodaya 07:13, sūryāsta 18:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rajkot/2029-12-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rajkot/2029-12-04","sa":"https://sa.vidhyamitra.com/city/rajkot/2029-12-04","hi":"https://hi.vidhyamitra.com/city/rajkot/2029-12-04","x-default":"https://vidhyamitra.com/city/rajkot/2029-12-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-07-27T18:04:16.572Z","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":"2026-07-27T18:04:16.572Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-07-27T18:04:16.572Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no founder-city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","Divyāṁśa-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"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"}}}