{"id":"vidhyamitra:city-day:vrindavan:1903-08-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1903-08-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1903-08-15","date_display":"August 15, 1903 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":1903,"month":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2416341.770833,"kali_year":5005,"ahargana":1827876.2708,"sun":{"sidereal_longitude":118.1454,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":17.405,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":259.2596,"elapsed_within_tithi_degrees":7.2596},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":17.405,"elapsed_within_degrees":4.0716},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":135.5504},"karana":{"half_tithi_index":43,"name":"Bava"},"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":1903,"month":8,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2416341.770833,"ahargana":1827876.2708,"kali_year":5005,"ayanamsa_lahiri":22.5066,"grahas":{"sun":{"sidereal_longitude":118.526633,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":14.068832999999984,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false,"latitude":-2.0473},"mars":{"sidereal_longitude":193.758733,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":137.88363300000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":330.51943299999994,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":157.77953300000001,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":283.7125329999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":170.3188,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":350.3188,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":1903,"month":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2416341.770833,"kali_year":5005,"ahargana":1827876.2708,"sun":{"sidereal_longitude":118.1454,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":17.405,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":259.2596,"elapsed_within_tithi_degrees":7.2596},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":17.405,"elapsed_within_degrees":4.0716},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":135.5504},"karana":{"half_tithi_index":43,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.047,"elongation":100.74},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.047,"opposition_distance":79.26}},"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":"05:49","sunsetLocal":"18:58","solarNoonLocal":"12:24","dayLengthHours":13.16409342513819,"dayLengthDisplay":"13 Hours 09 Mins 51 Secs","nightLengthDisplay":"10 Hours 50 Mins 09 Secs","moonriseLocal":"22:54","moonsetLocal":"11:58","rahuKala":{"name":"Rāhu Kāla","start":"09:06","end":"10:45","startHours":9.101301772492594,"endHours":10.746813450634868,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:02","end":"15:41","startHours":14.037836806919415,"endHours":15.683348485061689,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:49","end":"07:27","startHours":5.810278416208047,"endHours":7.455790094350321,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:19","startHours":8.881900215406958,"endHours":9.320703329578231,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:43","startHours":6.358782308922138,"endHours":6.709824800259157,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:50","startHours":11.953522014605868,"endHours":12.831128242948415,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:03","end":"04:56","startHours":4.055065959522954,"endHours":4.932672187865501,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:43","end":"05:49","startHours":4.713270630779864,"endHours":5.810278416208047,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:35","end":"15:28","startHours":14.586340699633507,"endHours":15.463946927976053,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:46","end":"19:10","startHours":18.774371841346237,"endHours":19.174371841346236,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:58","end":"19:31","startHours":18.974371841346237,"endHours":19.522875734060328,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:43","end":"20:28","startHours":18.724371841346237,"endHours":20.474371841346237,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:50","startHours":23.95352201460587,"endHours":24.831128242948413,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:49","end":"07:27","startHours":5.810278416208047,"endHours":7.455790094350321,"quality":"inauspicious"},{"name":"Śubha","start":"07:27","end":"09:06","startHours":7.455790094350321,"endHours":9.101301772492594,"quality":"auspicious"},{"name":"Roga","start":"09:06","end":"10:45","startHours":9.101301772492594,"endHours":10.746813450634868,"quality":"inauspicious"},{"name":"Udveg","start":"10:45","end":"12:24","startHours":10.746813450634868,"endHours":12.392325128777141,"quality":"inauspicious"},{"name":"Chala","start":"12:24","end":"14:02","startHours":12.392325128777141,"endHours":14.037836806919415,"quality":"neutral"},{"name":"Labha","start":"14:02","end":"15:41","startHours":14.037836806919415,"endHours":15.683348485061689,"quality":"auspicious"},{"name":"Amṛta","start":"15:41","end":"17:20","startHours":15.683348485061689,"endHours":17.328860163203963,"quality":"auspicious"},{"name":"Kāla","start":"17:20","end":"18:58","startHours":17.328860163203963,"endHours":18.974371841346237,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:58","end":"20:20","startHours":18.974371841346237,"endHours":20.328860163203963,"quality":"auspicious"},{"name":"Amṛta","start":"20:20","end":"21:41","startHours":20.328860163203963,"endHours":21.68334848506169,"quality":"auspicious"},{"name":"Kāla","start":"21:41","end":"23:02","startHours":21.68334848506169,"endHours":23.037836806919415,"quality":"inauspicious"},{"name":"Śubha","start":"23:02","end":"00:24","startHours":23.037836806919415,"endHours":24.39232512877714,"quality":"auspicious"},{"name":"Roga","start":"00:24","end":"01:45","startHours":24.39232512877714,"endHours":25.746813450634868,"quality":"inauspicious"},{"name":"Udveg","start":"01:45","end":"03:06","startHours":25.746813450634868,"endHours":27.101301772492594,"quality":"inauspicious"},{"name":"Chala","start":"03:06","end":"04:27","startHours":27.101301772492594,"endHours":28.45579009435032,"quality":"neutral"},{"name":"Labha","start":"04:27","end":"05:49","startHours":28.45579009435032,"endHours":29.810278416208046,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:49","end":"06:49","startHours":5.810278416208047,"endHours":6.810278416208047,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:49","end":"07:49","startHours":6.810278416208047,"endHours":7.810278416208047,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:49","end":"08:49","startHours":7.810278416208047,"endHours":8.810278416208046,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:49","end":"09:49","startHours":8.810278416208046,"endHours":9.810278416208046,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:49","end":"10:49","startHours":9.810278416208046,"endHours":10.810278416208046,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:49","end":"11:49","startHours":10.810278416208046,"endHours":11.810278416208046,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:49","end":"12:49","startHours":11.810278416208046,"endHours":12.810278416208046,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:49","end":"13:49","startHours":12.810278416208046,"endHours":13.810278416208046,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:49","end":"14:49","startHours":13.810278416208046,"endHours":14.810278416208046,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:49","end":"15:49","startHours":14.810278416208046,"endHours":15.810278416208046,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:49","end":"16:49","startHours":15.810278416208046,"endHours":16.810278416208046,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:49","end":"17:49","startHours":16.810278416208046,"endHours":17.810278416208046,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:49","end":"18:49","startHours":17.810278416208046,"endHours":18.810278416208046,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:49","end":"19:49","startHours":18.810278416208046,"endHours":19.810278416208046,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:49","end":"20:49","startHours":19.810278416208046,"endHours":20.810278416208046,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:49","end":"21:49","startHours":20.810278416208046,"endHours":21.810278416208046,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:49","end":"22:49","startHours":21.810278416208046,"endHours":22.810278416208046,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:49","end":"23:49","startHours":22.810278416208046,"endHours":23.810278416208046,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:49","end":"00:49","startHours":23.810278416208046,"endHours":24.810278416208046,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:49","end":"01:49","startHours":24.810278416208046,"endHours":25.810278416208046,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:49","end":"02:49","startHours":25.810278416208046,"endHours":26.810278416208046,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:49","end":"03:49","startHours":26.810278416208046,"endHours":27.810278416208046,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:49","end":"04:49","startHours":27.810278416208046,"endHours":28.810278416208046,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:49","end":"05:49","startHours":28.810278416208046,"endHours":29.810278416208046,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":14.484721116960058,"eotMinutes":-4.176707726628523,"ayanamsa":22.5066}},"calendars":{"vikram_samvat":1960,"vikram_samvatsara":"Nala","saka_samvat":1825,"saka_samvatsara":"Śobhana","bengali_samvat":1310,"malayalam_era":1079,"nanakshahi_year":434,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Saptamī · Vikram 1960 Nala · Śaka 1825 Śobhana"},"festivals":[],"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 August 15, 1903 CE · Vṛndāvana · Vidhyamitra","description":"August 15, 1903 CE for Vṛndāvana: Kṛṣṇa Saptamī, sūryodaya 05:49, sūryāsta 18:58.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1903-08-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1903-08-15","sa":"https://sa.vidhyamitra.com/city/vrindavan/1903-08-15","hi":"https://hi.vidhyamitra.com/city/vrindavan/1903-08-15","x-default":"https://vidhyamitra.com/city/vrindavan/1903-08-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T03:27:55.181Z","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":"2026-06-02T03:27:55.181Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T03:27:55.181Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}