{"id":"vidhyamitra:city-day:mathura:2003-08-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2003-08-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2003-08-30","date_display":"August 30, 2003 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":2003,"month":8,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452881.770833,"kali_year":5105,"ahargana":1864416.2708,"sun":{"sidereal_longitude":131.6917,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":160.3945,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":28.7028,"elapsed_within_tithi_degrees":4.7028},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":160.3945,"elapsed_within_degrees":0.3945},"yoga":{"number":22,"name":"Sādhya","sum_longitude":292.0863},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2003,"month":8,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452881.770833,"ahargana":1864416.2708,"kali_year":5105,"ayanamsa_lahiri":23.9041,"grahas":{"sun":{"sidereal_longitude":132.378036,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":162.757336,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false,"latitude":3.6328},"mars":{"sidereal_longitude":310.62843599999997,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":true},"mercury":{"sidereal_longitude":152.45423600000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":126.674736,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":135.44743600000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":76.452136,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":34.2538,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":214.2538,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"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":2003,"month":8,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452881.770833,"kali_year":5105,"ahargana":1864416.2708,"sun":{"sidereal_longitude":131.6917,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":160.3945,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":28.7028,"elapsed_within_tithi_degrees":4.7028},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":160.3945,"elapsed_within_degrees":0.3945},"yoga":{"number":22,"name":"Sādhya","sum_longitude":292.0863},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.633,"elongation":28.703},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.633,"opposition_distance":151.297}},"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":"05:56","sunsetLocal":"18:43","solarNoonLocal":"12:19","dayLengthHours":12.772463047390637,"dayLengthDisplay":"12 Hours 46 Mins 21 Secs","nightLengthDisplay":"11 Hours 13 Mins 39 Secs","moonriseLocal":"08:24","moonsetLocal":"20:18","rahuKala":{"name":"Rāhu Kāla","start":"09:08","end":"10:44","startHours":9.131624093798536,"endHours":10.728181974722366,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:55","end":"15:31","startHours":13.921297736570025,"endHours":15.517855617493854,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:56","end":"07:32","startHours":5.938508331950877,"endHours":7.535066212874707,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:55","end":"09:21","startHours":8.91874970967536,"endHours":9.344498477921714,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:28","end":"06:49","startHours":6.470694292258821,"endHours":6.811293306855904,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:45","startHours":11.898991087399843,"endHours":12.75048862389255,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:14","end":"05:05","startHours":4.235513258965459,"endHours":5.087010795458168,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:52","end":"05:56","startHours":4.874136411334991,"endHours":5.938508331950877,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:27","end":"15:18","startHours":14.45348369687797,"endHours":15.30498123337068,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:31","end":"18:55","startHours":18.510971379341516,"endHours":18.910971379341515,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:43","end":"19:15","startHours":18.710971379341515,"endHours":19.243157339649457,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:28","end":"20:13","startHours":18.460971379341515,"endHours":20.210971379341515,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:45","startHours":23.898991087399843,"endHours":24.75048862389255,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:56","end":"07:32","startHours":5.938508331950877,"endHours":7.535066212874707,"quality":"inauspicious"},{"name":"Śubha","start":"07:32","end":"09:08","startHours":7.535066212874707,"endHours":9.131624093798536,"quality":"auspicious"},{"name":"Roga","start":"09:08","end":"10:44","startHours":9.131624093798536,"endHours":10.728181974722366,"quality":"inauspicious"},{"name":"Udveg","start":"10:44","end":"12:19","startHours":10.728181974722366,"endHours":12.324739855646197,"quality":"inauspicious"},{"name":"Chala","start":"12:19","end":"13:55","startHours":12.324739855646197,"endHours":13.921297736570025,"quality":"neutral"},{"name":"Labha","start":"13:55","end":"15:31","startHours":13.921297736570025,"endHours":15.517855617493854,"quality":"auspicious"},{"name":"Amṛta","start":"15:31","end":"17:07","startHours":15.517855617493854,"endHours":17.114413498417687,"quality":"auspicious"},{"name":"Kāla","start":"17:07","end":"18:43","startHours":17.114413498417687,"endHours":18.710971379341515,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:43","end":"20:07","startHours":18.710971379341515,"endHours":20.114413498417687,"quality":"auspicious"},{"name":"Amṛta","start":"20:07","end":"21:31","startHours":20.114413498417687,"endHours":21.517855617493858,"quality":"auspicious"},{"name":"Kāla","start":"21:31","end":"22:55","startHours":21.517855617493858,"endHours":22.921297736570025,"quality":"inauspicious"},{"name":"Śubha","start":"22:55","end":"00:19","startHours":22.921297736570025,"endHours":24.324739855646197,"quality":"auspicious"},{"name":"Roga","start":"00:19","end":"01:44","startHours":24.324739855646197,"endHours":25.728181974722368,"quality":"inauspicious"},{"name":"Udveg","start":"01:44","end":"03:08","startHours":25.728181974722368,"endHours":27.131624093798536,"quality":"inauspicious"},{"name":"Chala","start":"03:08","end":"04:32","startHours":27.131624093798536,"endHours":28.535066212874707,"quality":"neutral"},{"name":"Labha","start":"04:32","end":"05:56","startHours":28.535066212874707,"endHours":29.938508331950878,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:56","end":"06:56","startHours":5.938508331950877,"endHours":6.938508331950877,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:56","end":"07:56","startHours":6.938508331950877,"endHours":7.938508331950877,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:56","end":"08:56","startHours":7.938508331950877,"endHours":8.938508331950878,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:56","end":"09:56","startHours":8.938508331950878,"endHours":9.938508331950878,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:56","end":"10:56","startHours":9.938508331950878,"endHours":10.938508331950878,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:56","end":"11:56","startHours":10.938508331950878,"endHours":11.938508331950878,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:56","end":"12:56","startHours":11.938508331950878,"endHours":12.938508331950878,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:56","end":"13:56","startHours":12.938508331950878,"endHours":13.938508331950878,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:56","end":"14:56","startHours":13.938508331950878,"endHours":14.938508331950878,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:56","end":"15:56","startHours":14.938508331950878,"endHours":15.938508331950878,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:56","end":"16:56","startHours":15.938508331950878,"endHours":16.938508331950878,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:56","end":"17:56","startHours":16.938508331950878,"endHours":17.938508331950878,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:56","end":"18:56","startHours":17.938508331950878,"endHours":18.938508331950878,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:56","end":"19:56","startHours":18.938508331950878,"endHours":19.938508331950878,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:56","end":"20:56","startHours":19.938508331950878,"endHours":20.938508331950878,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:56","end":"21:56","startHours":20.938508331950878,"endHours":21.938508331950878,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:56","end":"22:56","startHours":21.938508331950878,"endHours":22.938508331950878,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:56","end":"23:56","startHours":22.938508331950878,"endHours":23.938508331950878,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:56","end":"00:56","startHours":23.938508331950878,"endHours":24.938508331950878,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:56","end":"01:56","startHours":24.938508331950878,"endHours":25.938508331950878,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:56","end":"02:56","startHours":25.938508331950878,"endHours":26.938508331950878,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:56","end":"03:56","startHours":26.938508331950878,"endHours":27.938508331950878,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:56","end":"04:56","startHours":27.938508331950878,"endHours":28.938508331950878,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:56","end":"05:56","startHours":28.938508331950878,"endHours":29.938508331950878,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"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":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"East","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":9.2058061365187,"eotMinutes":-0.17919133877174764,"ayanamsa":23.9041}},"calendars":{"vikram_samvat":2060,"vikram_samvatsara":"Durmukhi","saka_samvat":1925,"saka_samvatsara":"Subhānu","bengali_samvat":1410,"malayalam_era":1179,"nanakshahi_year":534,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Tṛtīyā · Vikram 2060 Durmukhi · Śaka 1925 Subhānu"},"festivals":[{"id":"varaha-jayanti","name":"Varāha Jayantī","name_sanskrit":"वराह जयन्ती","tradition":"Vaishnava","associated_deity":"Varāha (3rd daśāvatāra of Krishna)","deity_avatara_index":12,"significance":"Varāha lifted Bhū-Devī from the cosmic ocean.","vrata":false,"detection":{"tithi_number":3,"tithi_paksha":"Śukla","lunar_month":"Bhādrapada"},"precedence":4,"sources":["Bhāgavata 3.13"]},{"id":"simha-sankranti","name":"Siṁha Saṅkrānti","name_sanskrit":"सिंह सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Leo.","vrata":false,"detection":{"sun_rashi":"Siṃha"},"precedence":5}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 August 30, 2003 CE · Mathurā · Vidhyamitra","description":"August 30, 2003 CE for Mathurā: Śukla Tṛtīyā, sūryodaya 05:56, sūryāsta 18:43.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2003-08-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2003-08-30","sa":"https://sa.vidhyamitra.com/city/mathura/2003-08-30","hi":"https://hi.vidhyamitra.com/city/mathura/2003-08-30","x-default":"https://vidhyamitra.com/city/mathura/2003-08-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T16:26:46.149Z","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":"2026-05-14T16:26:46.149Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T16:26:46.149Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}