{"id":"vidhyamitra:city-day:vrindavan:2131-08-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2131-08-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2131-08-15","date_display":"August 15, 2131 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":2131,"month":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2499617.770833,"kali_year":5233,"ahargana":1911152.2708,"sun":{"sidereal_longitude":115.2831,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":14.6182,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":259.335,"elapsed_within_tithi_degrees":7.335},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1,"moon_longitude":14.6182,"elapsed_within_degrees":1.2848},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":129.9013},"karana":{"half_tithi_index":43,"name":"Bava"},"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":2131,"month":8,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2499617.770833,"ahargana":1911152.2708,"kali_year":5233,"ayanamsa_lahiri":25.6916,"grahas":{"sun":{"sidereal_longitude":116.201977,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":16.815476999999987,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false,"latitude":-4.0207},"mars":{"sidereal_longitude":8.213277000000005,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":97.46097700000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":57.256077000000005,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":122.958077,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":192.98947699999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":77.9556,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":257.9556,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":2131,"month":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2499617.770833,"kali_year":5233,"ahargana":1911152.2708,"sun":{"sidereal_longitude":115.2831,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":14.6182,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":259.335,"elapsed_within_tithi_degrees":7.335},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1,"moon_longitude":14.6182,"elapsed_within_degrees":1.2848},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":129.9013},"karana":{"half_tithi_index":43,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.021,"elongation":100.665},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.021,"opposition_distance":79.335}},"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":13.14320920500655,"dayLengthDisplay":"13 Hours 08 Mins 36 Secs","nightLengthDisplay":"10 Hours 51 Mins 24 Secs","moonriseLocal":"23:10","moonsetLocal":"12:22","rahuKala":{"name":"Rāhu Kāla","start":"12:24","end":"14:02","startHours":12.392325128777141,"endHours":14.03522627940296,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:28","end":"09:06","startHours":7.4636216768996855,"endHours":9.106522827525504,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:45","end":"12:24","startHours":10.749423978151324,"endHours":12.392325128777141,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:20","startHours":8.887469340775395,"endHours":9.325576314275613,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:43","startHours":6.36835424314914,"endHours":6.718839821949315,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:50","startHours":11.954218155276923,"endHours":12.83043210227736,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:04","end":"04:57","startHours":4.0682926322729935,"endHours":4.94450657927343,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:44","end":"05:49","startHours":4.7254530925233205,"endHours":5.820720526273867,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:35","end":"15:28","startHours":14.582859996278234,"endHours":15.459073943278671,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:46","end":"19:10","startHours":18.763929731280417,"endHours":19.163929731280415,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:58","end":"19:31","startHours":18.963929731280416,"endHours":19.511563448155687,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:43","end":"20:28","startHours":18.713929731280416,"endHours":20.463929731280416,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:50","startHours":23.954218155276923,"endHours":24.83043210227736,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:49","end":"07:28","startHours":5.820720526273867,"endHours":7.4636216768996855,"quality":"auspicious"},{"name":"Amṛta","start":"07:28","end":"09:06","startHours":7.4636216768996855,"endHours":9.106522827525504,"quality":"auspicious"},{"name":"Kāla","start":"09:06","end":"10:45","startHours":9.106522827525504,"endHours":10.749423978151324,"quality":"inauspicious"},{"name":"Śubha","start":"10:45","end":"12:24","startHours":10.749423978151324,"endHours":12.392325128777141,"quality":"auspicious"},{"name":"Roga","start":"12:24","end":"14:02","startHours":12.392325128777141,"endHours":14.03522627940296,"quality":"inauspicious"},{"name":"Udveg","start":"14:02","end":"15:41","startHours":14.03522627940296,"endHours":15.678127430028779,"quality":"inauspicious"},{"name":"Chala","start":"15:41","end":"17:19","startHours":15.678127430028779,"endHours":17.3210285806546,"quality":"neutral"},{"name":"Labha","start":"17:19","end":"18:58","startHours":17.3210285806546,"endHours":18.963929731280416,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:58","end":"20:19","startHours":18.963929731280416,"endHours":20.3210285806546,"quality":"inauspicious"},{"name":"Chala","start":"20:19","end":"21:41","startHours":20.3210285806546,"endHours":21.67812743002878,"quality":"neutral"},{"name":"Labha","start":"21:41","end":"23:02","startHours":21.67812743002878,"endHours":23.03522627940296,"quality":"auspicious"},{"name":"Amṛta","start":"23:02","end":"00:24","startHours":23.03522627940296,"endHours":24.39232512877714,"quality":"auspicious"},{"name":"Kāla","start":"00:24","end":"01:45","startHours":24.39232512877714,"endHours":25.749423978151324,"quality":"inauspicious"},{"name":"Śubha","start":"01:45","end":"03:06","startHours":25.749423978151324,"endHours":27.106522827525502,"quality":"auspicious"},{"name":"Roga","start":"03:06","end":"04:28","startHours":27.106522827525502,"endHours":28.463621676899685,"quality":"inauspicious"},{"name":"Udveg","start":"04:28","end":"05:49","startHours":28.463621676899685,"endHours":29.820720526273867,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:49","end":"06:49","startHours":5.820720526273867,"endHours":6.820720526273867,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:49","end":"07:49","startHours":6.820720526273867,"endHours":7.820720526273867,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:49","end":"08:49","startHours":7.820720526273867,"endHours":8.820720526273867,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:49","end":"09:49","startHours":8.820720526273867,"endHours":9.820720526273867,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:49","end":"10:49","startHours":9.820720526273867,"endHours":10.820720526273867,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:49","end":"11:49","startHours":10.820720526273867,"endHours":11.820720526273867,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:49","end":"12:49","startHours":11.820720526273867,"endHours":12.820720526273867,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:49","end":"13:49","startHours":12.820720526273867,"endHours":13.820720526273867,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:49","end":"14:49","startHours":13.820720526273867,"endHours":14.820720526273867,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:49","end":"15:49","startHours":14.820720526273867,"endHours":15.820720526273867,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:49","end":"16:49","startHours":15.820720526273867,"endHours":16.820720526273867,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:49","end":"17:49","startHours":16.820720526273867,"endHours":17.820720526273867,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:49","end":"18:49","startHours":17.820720526273867,"endHours":18.820720526273867,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:49","end":"19:49","startHours":18.820720526273867,"endHours":19.820720526273867,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:49","end":"20:49","startHours":19.820720526273867,"endHours":20.820720526273867,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:49","end":"21:49","startHours":20.820720526273867,"endHours":21.820720526273867,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:49","end":"22:49","startHours":21.820720526273867,"endHours":22.820720526273867,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:49","end":"23:49","startHours":22.820720526273867,"endHours":23.820720526273867,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:49","end":"00:49","startHours":23.820720526273867,"endHours":24.820720526273867,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:49","end":"01:49","startHours":24.820720526273867,"endHours":25.820720526273867,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:49","end":"02:49","startHours":25.820720526273867,"endHours":26.820720526273867,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:49","end":"03:49","startHours":26.820720526273867,"endHours":27.820720526273867,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:49","end":"04:49","startHours":27.820720526273867,"endHours":28.820720526273867,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:49","end":"05:49","startHours":28.820720526273867,"endHours":29.820720526273867,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Padma","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":14.208445584904348,"eotMinutes":-4.176707726628523,"ayanamsa":25.6916}},"calendars":{"vikram_samvat":2188,"vikram_samvatsara":"Krodhi","saka_samvat":2053,"saka_samvatsara":"Khara","bengali_samvat":1538,"malayalam_era":1307,"nanakshahi_year":662,"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 2188 Krodhi · Śaka 2053 Khara"},"festivals":[],"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":"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, 2131 CE · Vṛndāvana · Vidhyamitra","description":"August 15, 2131 CE for Vṛndāvana: Kṛṣṇa Saptamī, sūryodaya 05:49, sūryāsta 18:58.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2131-08-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2131-08-15","sa":"https://sa.vidhyamitra.com/city/vrindavan/2131-08-15","hi":"https://hi.vidhyamitra.com/city/vrindavan/2131-08-15","x-default":"https://vidhyamitra.com/city/vrindavan/2131-08-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T15:01:20.151Z","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":"2026-05-31T15:01:20.151Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T15:01:20.151Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}