{"id":"vidhyamitra:city-day:vrindavan:2003-09-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2003-09-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2003-09-13","date_display":"September 13, 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":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452895.770833,"kali_year":5105,"ahargana":1864430.2708,"sun":{"sidereal_longitude":145.2234,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":354.8986,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":209.6753,"elapsed_within_tithi_degrees":5.6753},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":354.8986,"elapsed_within_degrees":8.232},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":140.122},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"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":9,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452895.770833,"ahargana":1864430.2708,"kali_year":5105,"ayanamsa_lahiri":23.9047,"grahas":{"sun":{"sidereal_longitude":145.953301,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":353.028301,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false,"latitude":-2.8065},"mars":{"sidereal_longitude":307.39290100000005,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":142.23630100000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":129.701801,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":152.812001,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":77.60650099999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":33.512,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":213.512,"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":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452895.770833,"kali_year":5105,"ahargana":1864430.2708,"sun":{"sidereal_longitude":145.2234,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":354.8986,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":209.6753,"elapsed_within_tithi_degrees":5.6753},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":354.8986,"elapsed_within_degrees":8.232},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":140.122},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.807,"elongation":150.325},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.807,"opposition_distance":29.675}},"eclipse_window_40days":[]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:02","sunsetLocal":"18:27","solarNoonLocal":"12:15","dayLengthHours":12.405764910704827,"dayLengthDisplay":"12 Hours 24 Mins 21 Secs","nightLengthDisplay":"11 Hours 35 Mins 39 Secs","moonriseLocal":"19:46","moonsetLocal":"08:20","rahuKala":{"name":"Rāhu Kāla","start":"09:09","end":"10:42","startHours":9.142040923492694,"endHours":10.692761537330798,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:48","end":"15:21","startHours":13.794202765007004,"endHours":15.344923378845108,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:02","end":"07:35","startHours":6.040599695816487,"endHours":7.5913203096545905,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:21","startHours":8.935278174980947,"endHours":9.348803672004442,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:33","end":"06:53","startHours":6.557506567095855,"endHours":6.888326964714651,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:39","startHours":11.829956654145406,"endHours":12.657007648192394,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:23","end":"05:13","startHours":4.38649770772251,"endHours":5.213548701769499,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:00","end":"06:02","startHours":5.006785953257752,"endHours":6.040599695816487,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:19","end":"15:08","startHours":14.311109636286371,"endHours":15.13816063033336,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:15","end":"18:39","startHours":18.246364606521315,"endHours":18.646364606521313,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:27","end":"18:58","startHours":18.446364606521314,"endHours":18.96327147780068,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:12","end":"19:57","startHours":18.196364606521314,"endHours":19.946364606521314,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:39","startHours":23.829956654145406,"endHours":24.65700764819239,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:02","end":"07:35","startHours":6.040599695816487,"endHours":7.5913203096545905,"quality":"inauspicious"},{"name":"Śubha","start":"07:35","end":"09:09","startHours":7.5913203096545905,"endHours":9.142040923492694,"quality":"auspicious"},{"name":"Roga","start":"09:09","end":"10:42","startHours":9.142040923492694,"endHours":10.692761537330798,"quality":"inauspicious"},{"name":"Udveg","start":"10:42","end":"12:15","startHours":10.692761537330798,"endHours":12.243482151168902,"quality":"inauspicious"},{"name":"Chala","start":"12:15","end":"13:48","startHours":12.243482151168902,"endHours":13.794202765007004,"quality":"neutral"},{"name":"Labha","start":"13:48","end":"15:21","startHours":13.794202765007004,"endHours":15.344923378845108,"quality":"auspicious"},{"name":"Amṛta","start":"15:21","end":"16:54","startHours":15.344923378845108,"endHours":16.895643992683212,"quality":"auspicious"},{"name":"Kāla","start":"16:54","end":"18:27","startHours":16.895643992683212,"endHours":18.446364606521314,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:27","end":"19:54","startHours":18.446364606521314,"endHours":19.895643992683212,"quality":"auspicious"},{"name":"Amṛta","start":"19:54","end":"21:21","startHours":19.895643992683212,"endHours":21.344923378845106,"quality":"auspicious"},{"name":"Kāla","start":"21:21","end":"22:48","startHours":21.344923378845106,"endHours":22.794202765007004,"quality":"inauspicious"},{"name":"Śubha","start":"22:48","end":"00:15","startHours":22.794202765007004,"endHours":24.2434821511689,"quality":"auspicious"},{"name":"Roga","start":"00:15","end":"01:42","startHours":24.2434821511689,"endHours":25.692761537330796,"quality":"inauspicious"},{"name":"Udveg","start":"01:42","end":"03:09","startHours":25.692761537330796,"endHours":27.142040923492694,"quality":"inauspicious"},{"name":"Chala","start":"03:09","end":"04:35","startHours":27.142040923492694,"endHours":28.59132030965459,"quality":"neutral"},{"name":"Labha","start":"04:35","end":"06:02","startHours":28.59132030965459,"endHours":30.04059969581649,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:02","end":"07:02","startHours":6.040599695816487,"endHours":7.040599695816487,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:02","end":"08:02","startHours":7.040599695816487,"endHours":8.040599695816487,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:02","end":"09:02","startHours":8.040599695816487,"endHours":9.040599695816487,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:02","end":"10:02","startHours":9.040599695816487,"endHours":10.040599695816487,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:02","end":"11:02","startHours":10.040599695816487,"endHours":11.040599695816487,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:02","end":"12:02","startHours":11.040599695816487,"endHours":12.040599695816487,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:02","end":"13:02","startHours":12.040599695816487,"endHours":13.040599695816487,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:02","end":"14:02","startHours":13.040599695816487,"endHours":14.040599695816487,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:02","end":"15:02","startHours":14.040599695816487,"endHours":15.040599695816487,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:02","end":"16:02","startHours":15.040599695816487,"endHours":16.04059969581649,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:02","end":"17:02","startHours":16.04059969581649,"endHours":17.04059969581649,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:02","end":"18:02","startHours":17.04059969581649,"endHours":18.04059969581649,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:02","end":"19:02","startHours":18.04059969581649,"endHours":19.04059969581649,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:02","end":"20:02","startHours":19.04059969581649,"endHours":20.04059969581649,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:02","end":"21:02","startHours":20.04059969581649,"endHours":21.04059969581649,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:02","end":"22:02","startHours":21.04059969581649,"endHours":22.04059969581649,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:02","end":"23:02","startHours":22.04059969581649,"endHours":23.04059969581649,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:02","end":"00:02","startHours":23.04059969581649,"endHours":24.04059969581649,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:02","end":"01:02","startHours":24.04059969581649,"endHours":25.04059969581649,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:02","end":"02:02","startHours":25.04059969581649,"endHours":26.04059969581649,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:02","end":"03:02","startHours":26.04059969581649,"endHours":27.04059969581649,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:02","end":"04:02","startHours":27.04059969581649,"endHours":28.04059969581649,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:02","end":"05:02","startHours":28.04059969581649,"endHours":29.04059969581649,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:02","end":"06:02","startHours":29.04059969581649,"endHours":30.04059969581649,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Gada","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":4.016057752518105,"eotMinutes":4.753870929866006,"ayanamsa":23.9047}},"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 Kṛṣṇa Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Tṛtīyā · Vikram 2060 Durmukhi · Śaka 1925 Subhānu"},"festivals":[{"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":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga September 13, 2003 CE · Vṛndāvana · Vidhyamitra","description":"September 13, 2003 CE for Vṛndāvana: Kṛṣṇa Tṛtīyā, sūryodaya 06:02, sūryāsta 18:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2003-09-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2003-09-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2003-09-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2003-09-13","x-default":"https://vidhyamitra.com/city/vrindavan/2003-09-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T21:01:56.854Z","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":"2026-05-22T21:01:56.854Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T21:01:56.854Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}