{"id":"vidhyamitra:city-day:ayodhya:1686-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/1686-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1686-05-13","date_display":"May 13, 1686 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":1686,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2336991.770833,"kali_year":4788,"ahargana":1748526.2708,"sun":{"sidereal_longitude":33.7578,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":278.5904,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":244.8326,"elapsed_within_tithi_degrees":4.8326},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":278.5904,"elapsed_within_degrees":11.9237},"yoga":{"number":24,"name":"Śukla","sum_longitude":312.3482},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":1686,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2336991.770833,"ahargana":1748526.2708,"kali_year":4788,"ayanamsa_lahiri":19.4718,"grahas":{"sun":{"sidereal_longitude":33.059285999999986,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":280.22418600000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false,"latitude":-3.1202},"mars":{"sidereal_longitude":61.009285999999975,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":57.41528599999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":212.42798599999992,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":4.709486000000027,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":158.06408599999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":54.6637,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":234.6637,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":1686,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2336991.770833,"kali_year":4788,"ahargana":1748526.2708,"sun":{"sidereal_longitude":33.7578,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":278.5904,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":244.8326,"elapsed_within_tithi_degrees":4.8326},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":278.5904,"elapsed_within_degrees":11.9237},"yoga":{"number":24,"name":"Śukla","sum_longitude":312.3482},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.12,"elongation":115.167},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.12,"opposition_distance":64.833}},"eclipse_window_40days":[{"offset_days":9,"type":"solar","occurs":true,"moon_latitude":-1.015,"elongation":1.216}]},"city":{"slug":"ayodhya","name":"Ayodhyā","lat":26.799,"lon":82.204,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"ayodhya","name":"Ayodhyā","lat":26.799,"lon":82.204,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:15","sunsetLocal":"18:40","solarNoonLocal":"11:57","dayLengthHours":13.423108551690586,"dayLengthDisplay":"13 Hours 25 Mins 23 Secs","nightLengthDisplay":"10 Hours 34 Mins 37 Secs","moonriseLocal":"23:06","moonsetLocal":"09:46","rahuKala":{"name":"Rāhu Kāla","start":"06:55","end":"08:36","startHours":6.923510314056756,"endHours":8.60139888301808,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:17","end":"11:57","startHours":10.279287451979403,"endHours":11.957176020940725,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:38","end":"15:19","startHours":13.63506458990205,"endHours":15.312953158863372,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:23","end":"08:50","startHours":8.37768040715657,"endHours":8.82511735887959,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:48","end":"06:10","startHours":5.8049179347492075,"endHours":6.162867496127623,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:31","end":"12:24","startHours":11.509739069217707,"endHours":12.404612972663747,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:27","end":"04:21","startHours":3.4558739382033554,"endHours":4.350747841649394,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:08","end":"05:15","startHours":4.127029365787885,"endHours":5.245621745095433,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:12","end":"15:05","startHours":14.194360779555822,"endHours":15.08923468300186,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:28","end":"18:52","startHours":18.46873029678602,"endHours":18.86873029678602,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:40","end":"19:14","startHours":18.66873029678602,"endHours":19.228026486439795,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:25","end":"20:10","startHours":18.41873029678602,"endHours":20.16873029678602,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:31","end":"00:24","startHours":23.50973906921771,"endHours":24.40461297266375,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:15","end":"06:55","startHours":5.245621745095433,"endHours":6.923510314056756,"quality":"auspicious"},{"name":"Kāla","start":"06:55","end":"08:36","startHours":6.923510314056756,"endHours":8.60139888301808,"quality":"inauspicious"},{"name":"Śubha","start":"08:36","end":"10:17","startHours":8.60139888301808,"endHours":10.279287451979403,"quality":"auspicious"},{"name":"Roga","start":"10:17","end":"11:57","startHours":10.279287451979403,"endHours":11.957176020940725,"quality":"inauspicious"},{"name":"Udveg","start":"11:57","end":"13:38","startHours":11.957176020940725,"endHours":13.63506458990205,"quality":"inauspicious"},{"name":"Chala","start":"13:38","end":"15:19","startHours":13.63506458990205,"endHours":15.312953158863372,"quality":"neutral"},{"name":"Labha","start":"15:19","end":"16:59","startHours":15.312953158863372,"endHours":16.990841727824694,"quality":"auspicious"},{"name":"Amṛta","start":"16:59","end":"18:40","startHours":16.990841727824694,"endHours":18.66873029678602,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:40","end":"19:59","startHours":18.66873029678602,"endHours":19.990841727824698,"quality":"neutral"},{"name":"Labha","start":"19:59","end":"21:19","startHours":19.990841727824698,"endHours":21.312953158863372,"quality":"auspicious"},{"name":"Amṛta","start":"21:19","end":"22:38","startHours":21.312953158863372,"endHours":22.63506458990205,"quality":"auspicious"},{"name":"Kāla","start":"22:38","end":"23:57","startHours":22.63506458990205,"endHours":23.95717602094073,"quality":"inauspicious"},{"name":"Śubha","start":"23:57","end":"01:17","startHours":23.95717602094073,"endHours":25.279287451979403,"quality":"auspicious"},{"name":"Roga","start":"01:17","end":"02:36","startHours":25.279287451979403,"endHours":26.60139888301808,"quality":"inauspicious"},{"name":"Udveg","start":"02:36","end":"03:55","startHours":26.60139888301808,"endHours":27.923510314056756,"quality":"inauspicious"},{"name":"Chala","start":"03:55","end":"05:15","startHours":27.923510314056756,"endHours":29.245621745095434,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:15","end":"06:15","startHours":5.245621745095433,"endHours":6.245621745095433,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:15","end":"07:15","startHours":6.245621745095433,"endHours":7.245621745095433,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:15","end":"08:15","startHours":7.245621745095433,"endHours":8.245621745095434,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:15","end":"09:15","startHours":8.245621745095434,"endHours":9.245621745095434,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:15","end":"10:15","startHours":9.245621745095434,"endHours":10.245621745095434,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:15","end":"11:15","startHours":10.245621745095434,"endHours":11.245621745095434,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:15","end":"12:15","startHours":11.245621745095434,"endHours":12.245621745095434,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:15","end":"13:15","startHours":12.245621745095434,"endHours":13.245621745095434,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:15","end":"14:15","startHours":13.245621745095434,"endHours":14.245621745095434,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:15","end":"15:15","startHours":14.245621745095434,"endHours":15.245621745095434,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:15","end":"16:15","startHours":15.245621745095434,"endHours":16.245621745095434,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:15","end":"17:15","startHours":16.245621745095434,"endHours":17.245621745095434,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:15","end":"18:15","startHours":17.245621745095434,"endHours":18.245621745095434,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:15","end":"19:15","startHours":18.245621745095434,"endHours":19.245621745095434,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:15","end":"20:15","startHours":19.245621745095434,"endHours":20.245621745095434,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:15","end":"21:15","startHours":20.245621745095434,"endHours":21.245621745095434,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:15","end":"22:15","startHours":21.245621745095434,"endHours":22.245621745095434,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:15","end":"23:15","startHours":22.245621745095434,"endHours":23.245621745095434,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:15","end":"00:15","startHours":23.245621745095434,"endHours":24.245621745095434,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:15","end":"01:15","startHours":24.245621745095434,"endHours":25.245621745095434,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:15","end":"02:15","startHours":25.245621745095434,"endHours":26.245621745095434,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:15","end":"03:15","startHours":26.245621745095434,"endHours":27.245621745095434,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:15","end":"04:15","startHours":27.245621745095434,"endHours":28.245621745095434,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:15","end":"05:15","startHours":28.245621745095434,"endHours":29.245621745095434,"planetary_lord":"Venus"}],"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","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.40148895098895,"eotMinutes":3.7534387435564067,"ayanamsa":19.4718}},"calendars":{"vikram_samvat":1743,"vikram_samvatsara":"Pramāthi","saka_samvat":1608,"saka_samvatsara":"Akṣaya","bengali_samvat":1093,"malayalam_era":862,"nanakshahi_year":217,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Ṣaṣṭhī · Vikram 1743 Pramāthi · Śaka 1608 Akṣaya"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"ayodhya"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga May 13, 1686 CE · Ayodhyā · Vidhyamitra","description":"May 13, 1686 CE for Ayodhyā: Kṛṣṇa Ṣaṣṭhī, sūryodaya 05:15, sūryāsta 18:40.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/1686-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/1686-05-13","sa":"https://sa.vidhyamitra.com/city/ayodhya/1686-05-13","hi":"https://hi.vidhyamitra.com/city/ayodhya/1686-05-13","x-default":"https://vidhyamitra.com/city/ayodhya/1686-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T09:05:49.776Z","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":"2026-06-03T09:05:49.776Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T09:05:49.776Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}