{"id":"vidhyamitra:city-day:jamnagar:2040-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/jamnagar/2040-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-01-04","date_display":"January 4, 2040 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":2040,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466157.770833,"kali_year":5141,"ahargana":1877692.2708,"sun":{"sidereal_longitude":258.5508,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":131.76,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.2092,"elapsed_within_tithi_degrees":5.2092},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":131.76,"elapsed_within_degrees":11.76},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":30.3107},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2040,"month":1,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466157.770833,"ahargana":1877692.2708,"kali_year":5141,"ayanamsa_lahiri":24.4119,"grahas":{"sun":{"sidereal_longitude":258.85939499999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":128.600395,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":4.4437},"mars":{"sidereal_longitude":76.23979500000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":257.6839950000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":156.398595,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":222.48819500000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":166.62289499999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":50.8274,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":230.8274,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2040,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466157.770833,"kali_year":5141,"ahargana":1877692.2708,"sun":{"sidereal_longitude":258.5508,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":131.76,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.2092,"elapsed_within_tithi_degrees":5.2092},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":131.76,"elapsed_within_degrees":11.76},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":30.3107},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.444,"elongation":126.791},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.444,"opposition_distance":53.209}},"eclipse_window_40days":[]},"city":{"slug":"jamnagar","name":"Jamnagar, Gujarat","lat":22.4707,"lon":70.0577,"tz_offset_hours":5.5,"state":"Gujarat","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"jamnagar","name":"Jamnagar, Gujarat","lat":22.4707,"lon":70.0577,"tz_offset_hours":5.5,"state":"Gujarat","country":"IN","tier":"tier-1"},"sunriseLocal":"07:31","sunsetLocal":"18:19","solarNoonLocal":"12:55","dayLengthHours":10.798790042078473,"dayLengthDisplay":"10 Hours 47 Mins 56 Secs","nightLengthDisplay":"13 Hours 12 Mins 04 Secs","moonriseLocal":"21:54","moonsetLocal":"10:34","rahuKala":{"name":"Rāhu Kāla","start":"12:55","end":"14:16","startHours":12.91321844775577,"endHours":14.26306720301558,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:52","end":"10:13","startHours":8.863672181976344,"endHours":10.213520937236153,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:34","end":"12:55","startHours":11.56336969249596,"endHours":12.91321844775577,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:02","end":"10:24","startHours":10.033541103201511,"endHours":10.393500771270794,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:58","end":"08:15","startHours":7.963773011803138,"endHours":8.251740746258564,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:33","end":"13:16","startHours":12.55325877968649,"endHours":13.273178115825052,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:04","end":"06:48","startHours":6.0739847544394046,"endHours":6.7939040905779695,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:37","end":"07:31","startHours":6.613924256543329,"endHours":7.5138234267165345,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:43","end":"15:26","startHours":14.713016788102184,"endHours":15.432936124240749,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:07","end":"18:31","startHours":18.112613468795008,"endHours":18.512613468795006,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:19","end":"18:46","startHours":18.312613468795007,"endHours":18.76256305388161,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:04","end":"19:49","startHours":18.062613468795007,"endHours":19.812613468795007,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:33","end":"01:16","startHours":24.553258779686487,"endHours":25.273178115825054,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:31","end":"08:52","startHours":7.5138234267165345,"endHours":8.863672181976344,"quality":"auspicious"},{"name":"Amṛta","start":"08:52","end":"10:13","startHours":8.863672181976344,"endHours":10.213520937236153,"quality":"auspicious"},{"name":"Kāla","start":"10:13","end":"11:34","startHours":10.213520937236153,"endHours":11.56336969249596,"quality":"inauspicious"},{"name":"Śubha","start":"11:34","end":"12:55","startHours":11.56336969249596,"endHours":12.91321844775577,"quality":"auspicious"},{"name":"Roga","start":"12:55","end":"14:16","startHours":12.91321844775577,"endHours":14.26306720301558,"quality":"inauspicious"},{"name":"Udveg","start":"14:16","end":"15:37","startHours":14.26306720301558,"endHours":15.612915958275389,"quality":"inauspicious"},{"name":"Chala","start":"15:37","end":"16:58","startHours":15.612915958275389,"endHours":16.962764713535197,"quality":"neutral"},{"name":"Labha","start":"16:58","end":"18:19","startHours":16.962764713535197,"endHours":18.312613468795007,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:19","end":"19:58","startHours":18.312613468795007,"endHours":19.962764713535197,"quality":"inauspicious"},{"name":"Chala","start":"19:58","end":"21:37","startHours":19.962764713535197,"endHours":21.612915958275387,"quality":"neutral"},{"name":"Labha","start":"21:37","end":"23:16","startHours":21.612915958275387,"endHours":23.26306720301558,"quality":"auspicious"},{"name":"Amṛta","start":"23:16","end":"00:55","startHours":23.26306720301558,"endHours":24.91321844775577,"quality":"auspicious"},{"name":"Kāla","start":"00:55","end":"02:34","startHours":24.91321844775577,"endHours":26.56336969249596,"quality":"inauspicious"},{"name":"Śubha","start":"02:34","end":"04:13","startHours":26.56336969249596,"endHours":28.213520937236154,"quality":"auspicious"},{"name":"Roga","start":"04:13","end":"05:52","startHours":28.213520937236154,"endHours":29.863672181976344,"quality":"inauspicious"},{"name":"Udveg","start":"05:52","end":"07:31","startHours":29.863672181976344,"endHours":31.513823426716534,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:31","end":"08:31","startHours":7.5138234267165345,"endHours":8.513823426716534,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:31","end":"09:31","startHours":8.513823426716534,"endHours":9.513823426716534,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:31","end":"10:31","startHours":9.513823426716534,"endHours":10.513823426716534,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:31","end":"11:31","startHours":10.513823426716534,"endHours":11.513823426716534,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:31","end":"12:31","startHours":11.513823426716534,"endHours":12.513823426716534,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:31","end":"13:31","startHours":12.513823426716534,"endHours":13.513823426716534,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:31","end":"14:31","startHours":13.513823426716534,"endHours":14.513823426716534,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:31","end":"15:31","startHours":14.513823426716534,"endHours":15.513823426716534,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:31","end":"16:31","startHours":15.513823426716534,"endHours":16.513823426716534,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:31","end":"17:31","startHours":16.513823426716534,"endHours":17.513823426716534,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:31","end":"18:31","startHours":17.513823426716534,"endHours":18.513823426716534,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:31","end":"19:31","startHours":18.513823426716534,"endHours":19.513823426716534,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:31","end":"20:31","startHours":19.513823426716534,"endHours":20.513823426716534,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:31","end":"21:31","startHours":20.513823426716534,"endHours":21.513823426716534,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:31","end":"22:31","startHours":21.513823426716534,"endHours":22.513823426716534,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:31","end":"23:31","startHours":22.513823426716534,"endHours":23.513823426716534,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:31","end":"00:31","startHours":23.513823426716534,"endHours":24.513823426716534,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:31","end":"01:31","startHours":24.513823426716534,"endHours":25.513823426716534,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:31","end":"02:31","startHours":25.513823426716534,"endHours":26.513823426716534,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:31","end":"03:31","startHours":26.513823426716534,"endHours":27.513823426716534,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:31","end":"04:31","startHours":27.513823426716534,"endHours":28.513823426716534,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:31","end":"05:31","startHours":28.513823426716534,"endHours":29.513823426716534,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:31","end":"06:31","startHours":29.513823426716534,"endHours":30.513823426716534,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:31","end":"07:31","startHours":30.513823426716534,"endHours":31.513823426716534,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"West","rahuVasa":"South-West","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-22.774832784159575,"eotMinutes":-5.02390686534617,"ayanamsa":24.4119}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Pañcamī · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"jamnagar"},"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, 2040 CE · Jamnagar, Gujarat · Vidhyamitra","description":"January 4, 2040 CE for Jamnagar, Gujarat: Kṛṣṇa Pañcamī, sūryodaya 07:31, sūryāsta 18:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/jamnagar/2040-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/jamnagar/2040-01-04","sa":"https://sa.vidhyamitra.com/city/jamnagar/2040-01-04","hi":"https://hi.vidhyamitra.com/city/jamnagar/2040-01-04","x-default":"https://vidhyamitra.com/city/jamnagar/2040-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T12:13:00.376Z","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":"2026-05-15T12:13:00.376Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T12:13:00.376Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}