{"id":"vidhyamitra:city-day:mathura:2082-07-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2082-07-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2082-07-30","date_display":"July 30, 2082 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":2082,"month":7,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2481705.770833,"kali_year":5184,"ahargana":1893240.2708,"sun":{"sidereal_longitude":101.6483,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":157.8593,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":56.211,"elapsed_within_tithi_degrees":8.211},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":157.8593,"elapsed_within_degrees":11.1927},"yoga":{"number":20,"name":"Śiva","sum_longitude":259.5076},"karana":{"half_tithi_index":9,"name":"Bālava"},"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":2082,"month":7,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2481705.770833,"ahargana":1893240.2708,"kali_year":5184,"ayanamsa_lahiri":25.0065,"grahas":{"sun":{"sidereal_longitude":102.36744699999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":160.00354700000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false,"latitude":-2.3051},"mars":{"sidereal_longitude":318.67454699999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":124.68214699999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":8.173046999999997,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":146.861447,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":312.47214699999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":307.0195,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":127.0195,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":"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":2082,"month":7,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2481705.770833,"kali_year":5184,"ahargana":1893240.2708,"sun":{"sidereal_longitude":101.6483,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":157.8593,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":56.211,"elapsed_within_tithi_degrees":8.211},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":157.8593,"elapsed_within_degrees":11.1927},"yoga":{"number":20,"name":"Śiva","sum_longitude":259.5076},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.305,"elongation":56.211},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.305,"opposition_distance":123.789}},"eclipse_window_40days":[]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:41","sunsetLocal":"19:09","solarNoonLocal":"12:25","dayLengthHours":13.465406325212918,"dayLengthDisplay":"13 Hours 27 Mins 55 Secs","nightLengthDisplay":"10 Hours 32 Mins 05 Secs","moonriseLocal":"10:17","moonsetLocal":"22:14","rahuKala":{"name":"Rāhu Kāla","start":"14:06","end":"15:47","startHours":14.106840552597951,"endHours":15.790016343249567,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:41","end":"07:22","startHours":5.690961599339879,"endHours":7.3741373899914935,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:03","end":"10:44","startHours":9.057313180643108,"endHours":10.740488971294724,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:17","startHours":8.83288974188956,"endHours":9.281736619396657,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:15","end":"06:37","startHours":6.25202019622375,"endHours":6.611097698229428,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:52","startHours":11.97481788443924,"endHours":12.872511639453435,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:54","end":"04:48","startHours":3.8955740893114896,"endHours":4.793267844325684,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:34","end":"05:41","startHours":4.568844405572136,"endHours":5.690961599339879,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:40","end":"15:34","startHours":14.667899149481823,"endHours":15.565592904496016,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:57","end":"19:21","startHours":18.956367924552797,"endHours":19.356367924552796,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:09","end":"19:43","startHours":19.156367924552796,"endHours":19.717426521436668,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:54","end":"20:39","startHours":18.906367924552796,"endHours":20.656367924552796,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:52","startHours":23.97481788443924,"endHours":24.872511639453435,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:41","end":"07:22","startHours":5.690961599339879,"endHours":7.3741373899914935,"quality":"auspicious"},{"name":"Roga","start":"07:22","end":"09:03","startHours":7.3741373899914935,"endHours":9.057313180643108,"quality":"inauspicious"},{"name":"Udveg","start":"09:03","end":"10:44","startHours":9.057313180643108,"endHours":10.740488971294724,"quality":"inauspicious"},{"name":"Chala","start":"10:44","end":"12:25","startHours":10.740488971294724,"endHours":12.423664761946338,"quality":"neutral"},{"name":"Labha","start":"12:25","end":"14:06","startHours":12.423664761946338,"endHours":14.106840552597951,"quality":"auspicious"},{"name":"Amṛta","start":"14:06","end":"15:47","startHours":14.106840552597951,"endHours":15.790016343249567,"quality":"auspicious"},{"name":"Kāla","start":"15:47","end":"17:28","startHours":15.790016343249567,"endHours":17.473192133901183,"quality":"inauspicious"},{"name":"Śubha","start":"17:28","end":"19:09","startHours":17.473192133901183,"endHours":19.156367924552796,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:09","end":"20:28","startHours":19.156367924552796,"endHours":20.473192133901183,"quality":"auspicious"},{"name":"Kāla","start":"20:28","end":"21:47","startHours":20.473192133901183,"endHours":21.79001634324957,"quality":"inauspicious"},{"name":"Śubha","start":"21:47","end":"23:06","startHours":21.79001634324957,"endHours":23.10684055259795,"quality":"auspicious"},{"name":"Roga","start":"23:06","end":"00:25","startHours":23.10684055259795,"endHours":24.423664761946338,"quality":"inauspicious"},{"name":"Udveg","start":"00:25","end":"01:44","startHours":24.423664761946338,"endHours":25.740488971294724,"quality":"inauspicious"},{"name":"Chala","start":"01:44","end":"03:03","startHours":25.740488971294724,"endHours":27.057313180643106,"quality":"neutral"},{"name":"Labha","start":"03:03","end":"04:22","startHours":27.057313180643106,"endHours":28.374137389991493,"quality":"auspicious"},{"name":"Amṛta","start":"04:22","end":"05:41","startHours":28.374137389991493,"endHours":29.69096159933988,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:41","end":"06:41","startHours":5.690961599339879,"endHours":6.690961599339879,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:41","end":"07:41","startHours":6.690961599339879,"endHours":7.690961599339879,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:41","end":"08:41","startHours":7.690961599339879,"endHours":8.690961599339879,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:41","end":"09:41","startHours":8.690961599339879,"endHours":9.690961599339879,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:41","end":"10:41","startHours":9.690961599339879,"endHours":10.690961599339879,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:41","end":"11:41","startHours":10.690961599339879,"endHours":11.690961599339879,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:41","end":"12:41","startHours":11.690961599339879,"endHours":12.690961599339879,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:41","end":"13:41","startHours":12.690961599339879,"endHours":13.690961599339879,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:41","end":"14:41","startHours":13.690961599339879,"endHours":14.690961599339879,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:41","end":"15:41","startHours":14.690961599339879,"endHours":15.690961599339879,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:41","end":"16:41","startHours":15.690961599339879,"endHours":16.69096159933988,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:41","end":"17:41","startHours":16.69096159933988,"endHours":17.69096159933988,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:41","end":"18:41","startHours":17.69096159933988,"endHours":18.69096159933988,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:41","end":"19:41","startHours":18.69096159933988,"endHours":19.69096159933988,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:41","end":"20:41","startHours":19.69096159933988,"endHours":20.69096159933988,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:41","end":"21:41","startHours":20.69096159933988,"endHours":21.69096159933988,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:41","end":"22:41","startHours":21.69096159933988,"endHours":22.69096159933988,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:41","end":"23:41","startHours":22.69096159933988,"endHours":23.69096159933988,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:41","end":"00:41","startHours":23.69096159933988,"endHours":24.69096159933988,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:41","end":"01:41","startHours":24.69096159933988,"endHours":25.69096159933988,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:41","end":"02:41","startHours":25.69096159933988,"endHours":26.69096159933988,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:41","end":"03:41","startHours":26.69096159933988,"endHours":27.69096159933988,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:41","end":"04:41","startHours":27.69096159933988,"endHours":28.69096159933988,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:41","end":"05:41","startHours":28.69096159933988,"endHours":29.69096159933988,"planetary_lord":"Moon"}],"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":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-West","rahuVasa":"North-West","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":18.425680206181443,"eotMinutes":-6.1146857167802535,"ayanamsa":25.0065}},"calendars":{"vikram_samvat":2139,"vikram_samvatsara":"Rākṣasa","saka_samvat":2004,"saka_samvatsara":"Śubhakṛt","bengali_samvat":1489,"malayalam_era":1258,"nanakshahi_year":613,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Pañcamī · Vikram 2139 Rākṣasa · Śaka 2004 Śubhakṛt"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2}],"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":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 30, 2082 CE · Mathurā · Vidhyamitra","description":"July 30, 2082 CE for Mathurā: Śukla Pañcamī, sūryodaya 05:41, sūryāsta 19:09.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2082-07-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2082-07-30","sa":"https://sa.vidhyamitra.com/city/mathura/2082-07-30","hi":"https://hi.vidhyamitra.com/city/mathura/2082-07-30","x-default":"https://vidhyamitra.com/city/mathura/2082-07-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T13:45:09.409Z","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":"2026-05-14T13:45:09.409Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T13:45:09.409Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}