{"id":"vidhyamitra:city-day:rajkot:2029-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rajkot/2029-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2029-01-04","date_display":"January 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":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462140.770833,"kali_year":5130,"ahargana":1873675.2708,"sun":{"sidereal_longitude":259.4209,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":121.2562,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":221.8353,"elapsed_within_tithi_degrees":5.8353},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":121.2562,"elapsed_within_degrees":1.2562},"yoga":{"number":2,"name":"Prīti","sum_longitude":20.6771},"karana":{"half_tithi_index":36,"name":"Bava"},"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":2029,"month":1,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2462140.770833,"ahargana":1873675.2708,"kali_year":5130,"ayanamsa_lahiri":24.2582,"grahas":{"sun":{"sidereal_longitude":259.696274,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":123.08547399999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false,"latitude":-2.7432},"mars":{"sidereal_longitude":160.67437399999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":278.09727399999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":180.98817399999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":240.23467400000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":10.128273999999976,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":263.6674,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":83.6674,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"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":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462140.770833,"kali_year":5130,"ahargana":1873675.2708,"sun":{"sidereal_longitude":259.4209,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":121.2562,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":221.8353,"elapsed_within_tithi_degrees":5.8353},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":121.2562,"elapsed_within_degrees":1.2562},"yoga":{"number":2,"name":"Prīti","sum_longitude":20.6771},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.743,"elongation":138.165},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.743,"opposition_distance":41.835}},"eclipse_window_40days":[]},"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":"07:27","sunsetLocal":"18:16","solarNoonLocal":"12:52","dayLengthHours":10.814135258997677,"dayLengthDisplay":"10 Hours 48 Mins 51 Secs","nightLengthDisplay":"13 Hours 11 Mins 09 Secs","moonriseLocal":"21:22","moonsetLocal":"10:09","rahuKala":{"name":"Rāhu Kāla","start":"14:13","end":"15:34","startHours":14.215352021797145,"endHours":15.567118929171855,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:27","end":"08:48","startHours":7.456517484923597,"endHours":8.808284392298306,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:10","end":"11:31","startHours":10.160051299673016,"endHours":11.511818207047725,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:59","end":"10:20","startHours":9.979815712023054,"endHours":10.340286887322979,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:54","end":"08:12","startHours":7.907106454048501,"endHours":8.19548339428844,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:30","end":"13:13","startHours":12.503113939122514,"endHours":13.224056289722359,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:01","end":"06:44","startHours":6.014632783723907,"endHours":6.735575134323752,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:33","end":"07:27","startHours":6.555339546673791,"endHours":7.456517484923597,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:40","end":"15:23","startHours":14.66594099092205,"endHours":15.386883341521894,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:04","end":"18:28","startHours":18.070652743921276,"endHours":18.470652743921274,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:16","end":"18:43","startHours":18.270652743921275,"endHours":18.72124171304618,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:01","end":"19:46","startHours":18.020652743921275,"endHours":19.770652743921275,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:30","end":"01:13","startHours":24.503113939122514,"endHours":25.224056289722355,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:27","end":"08:48","startHours":7.456517484923597,"endHours":8.808284392298306,"quality":"auspicious"},{"name":"Roga","start":"08:48","end":"10:10","startHours":8.808284392298306,"endHours":10.160051299673016,"quality":"inauspicious"},{"name":"Udveg","start":"10:10","end":"11:31","startHours":10.160051299673016,"endHours":11.511818207047725,"quality":"inauspicious"},{"name":"Chala","start":"11:31","end":"12:52","startHours":11.511818207047725,"endHours":12.863585114422435,"quality":"neutral"},{"name":"Labha","start":"12:52","end":"14:13","startHours":12.863585114422435,"endHours":14.215352021797145,"quality":"auspicious"},{"name":"Amṛta","start":"14:13","end":"15:34","startHours":14.215352021797145,"endHours":15.567118929171855,"quality":"auspicious"},{"name":"Kāla","start":"15:34","end":"16:55","startHours":15.567118929171855,"endHours":16.918885836546565,"quality":"inauspicious"},{"name":"Śubha","start":"16:55","end":"18:16","startHours":16.918885836546565,"endHours":18.270652743921275,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:16","end":"19:55","startHours":18.270652743921275,"endHours":19.918885836546565,"quality":"auspicious"},{"name":"Kāla","start":"19:55","end":"21:34","startHours":19.918885836546565,"endHours":21.567118929171855,"quality":"inauspicious"},{"name":"Śubha","start":"21:34","end":"23:13","startHours":21.567118929171855,"endHours":23.215352021797145,"quality":"auspicious"},{"name":"Roga","start":"23:13","end":"00:52","startHours":23.215352021797145,"endHours":24.863585114422435,"quality":"inauspicious"},{"name":"Udveg","start":"00:52","end":"02:31","startHours":24.863585114422435,"endHours":26.511818207047725,"quality":"inauspicious"},{"name":"Chala","start":"02:31","end":"04:10","startHours":26.511818207047725,"endHours":28.160051299673018,"quality":"neutral"},{"name":"Labha","start":"04:10","end":"05:48","startHours":28.160051299673018,"endHours":29.808284392298308,"quality":"auspicious"},{"name":"Amṛta","start":"05:48","end":"07:27","startHours":29.808284392298308,"endHours":31.456517484923598,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:27","end":"08:27","startHours":7.456517484923597,"endHours":8.456517484923598,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:27","end":"09:27","startHours":8.456517484923598,"endHours":9.456517484923598,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:27","end":"10:27","startHours":9.456517484923598,"endHours":10.456517484923598,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:27","end":"11:27","startHours":10.456517484923598,"endHours":11.456517484923598,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:27","end":"12:27","startHours":11.456517484923598,"endHours":12.456517484923598,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:27","end":"13:27","startHours":12.456517484923598,"endHours":13.456517484923598,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:27","end":"14:27","startHours":13.456517484923598,"endHours":14.456517484923598,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:27","end":"15:27","startHours":14.456517484923598,"endHours":15.456517484923598,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:27","end":"16:27","startHours":15.456517484923598,"endHours":16.456517484923598,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:27","end":"17:27","startHours":16.456517484923598,"endHours":17.456517484923598,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:27","end":"18:27","startHours":17.456517484923598,"endHours":18.456517484923598,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:27","end":"19:27","startHours":18.456517484923598,"endHours":19.456517484923598,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:27","end":"20:27","startHours":19.456517484923598,"endHours":20.456517484923598,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:27","end":"21:27","startHours":20.456517484923598,"endHours":21.456517484923598,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:27","end":"22:27","startHours":21.456517484923598,"endHours":22.456517484923598,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:27","end":"23:27","startHours":22.456517484923598,"endHours":23.456517484923598,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:27","end":"00:27","startHours":23.456517484923598,"endHours":24.456517484923598,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:27","end":"01:27","startHours":24.456517484923598,"endHours":25.456517484923598,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:27","end":"02:27","startHours":25.456517484923598,"endHours":26.456517484923598,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:27","end":"03:27","startHours":26.456517484923598,"endHours":27.456517484923598,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:27","end":"04:27","startHours":27.456517484923598,"endHours":28.456517484923598,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:27","end":"05:27","startHours":28.456517484923598,"endHours":29.456517484923598,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:27","end":"06:27","startHours":29.456517484923598,"endHours":30.456517484923598,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:27","end":"07:27","startHours":30.456517484923598,"endHours":31.456517484923598,"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":-22.705490192724366,"eotMinutes":-5.02390686534617,"ayanamsa":24.2582}},"calendars":{"vikram_samvat":2086,"vikram_samvatsara":"Dundubhi","saka_samvat":1951,"saka_samvatsara":"Saumya","bengali_samvat":1436,"malayalam_era":1205,"nanakshahi_year":560,"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 Caturthī · Vikram 2086 Dundubhi · Śaka 1951 Saumya"},"festivals":[{"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":"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":"Dedicated festival walk for Saṅkaṣṭī Caturthī is not live yet; Guruvāra (Thursday) — 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 January 4, 2029 CE · Rajkot, Gujarat · Vidhyamitra","description":"January 4, 2029 CE for Rajkot, Gujarat: Kṛṣṇa Caturthī, sūryodaya 07:27, sūryāsta 18:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rajkot/2029-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rajkot/2029-01-04","sa":"https://sa.vidhyamitra.com/city/rajkot/2029-01-04","hi":"https://hi.vidhyamitra.com/city/rajkot/2029-01-04","x-default":"https://vidhyamitra.com/city/rajkot/2029-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-07-27T17:58:39.422Z","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":"2026-07-27T17:58:39.422Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-07-27T17:58:39.422Z","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"}}}