{"id":"vidhyamitra:city-day:ayodhya:1762-07-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/1762-07-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1762-07-21","date_display":"July 21, 1762 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":1762,"month":7,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2364818.770833,"kali_year":4864,"ahargana":1776353.2708,"sun":{"sidereal_longitude":97.6629,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":92.8045,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":355.1415,"elapsed_within_tithi_degrees":7.1415},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":92.8045,"elapsed_within_degrees":12.8045},"yoga":{"number":15,"name":"Vajra","sum_longitude":190.4674},"karana":{"half_tithi_index":59,"name":"Nāga"},"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":1762,"month":7,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2364818.770833,"ahargana":1776353.2708,"kali_year":4864,"ayanamsa_lahiri":20.536,"grahas":{"sun":{"sidereal_longitude":97.58398999999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"moon":{"sidereal_longitude":93.17088999999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false,"latitude":4.2925},"mars":{"sidereal_longitude":193.85589000000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":113.13889,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":20.547889999999995,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":130.65669000000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":6.223389999999995,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":20.2553,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":200.2553,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":1762,"month":7,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2364818.770833,"kali_year":4864,"ahargana":1776353.2708,"sun":{"sidereal_longitude":97.6629,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":92.8045,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":355.1415,"elapsed_within_tithi_degrees":7.1415},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":92.8045,"elapsed_within_degrees":12.8045},"yoga":{"number":15,"name":"Vajra","sum_longitude":190.4674},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.292,"elongation":4.858},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.292,"opposition_distance":175.142}},"eclipse_window_40days":[]},"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":"05:20","sunsetLocal":"18:55","solarNoonLocal":"12:07","dayLengthHours":13.589775970579218,"dayLengthDisplay":"13 Hours 35 Mins 23 Secs","nightLengthDisplay":"10 Hours 24 Mins 37 Secs","moonriseLocal":"05:01","moonsetLocal":"18:38","rahuKala":{"name":"Rāhu Kāla","start":"12:07","end":"13:49","startHours":12.120563390588067,"endHours":13.819285386910469,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:01","end":"08:43","startHours":7.024397401620861,"endHours":8.723119397943263,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:25","end":"12:07","startHours":10.421841394265666,"endHours":12.120563390588067,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:30","end":"08:57","startHours":8.496623131766942,"endHours":8.949615664119584,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:54","end":"06:15","startHours":5.891916070739259,"endHours":6.254310096621372,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:34","startHours":11.667570858235427,"endHours":12.573555922940708,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:31","end":"04:25","startHours":3.513705275887896,"endHours":4.419690340593177,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:12","end":"05:20","startHours":4.193194074416857,"endHours":5.325675405298458,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:23","end":"15:17","startHours":14.38552605235127,"endHours":15.291511117056551,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:43","end":"19:07","startHours":18.715451375877677,"endHours":19.115451375877676,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:55","end":"19:29","startHours":18.915451375877677,"endHours":19.481692041318478,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:40","end":"20:25","startHours":18.665451375877677,"endHours":20.415451375877677,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:34","startHours":23.667570858235425,"endHours":24.57355592294071,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:20","end":"07:01","startHours":5.325675405298458,"endHours":7.024397401620861,"quality":"auspicious"},{"name":"Amṛta","start":"07:01","end":"08:43","startHours":7.024397401620861,"endHours":8.723119397943263,"quality":"auspicious"},{"name":"Kāla","start":"08:43","end":"10:25","startHours":8.723119397943263,"endHours":10.421841394265666,"quality":"inauspicious"},{"name":"Śubha","start":"10:25","end":"12:07","startHours":10.421841394265666,"endHours":12.120563390588067,"quality":"auspicious"},{"name":"Roga","start":"12:07","end":"13:49","startHours":12.120563390588067,"endHours":13.819285386910469,"quality":"inauspicious"},{"name":"Udveg","start":"13:49","end":"15:31","startHours":13.819285386910469,"endHours":15.518007383232872,"quality":"inauspicious"},{"name":"Chala","start":"15:31","end":"17:13","startHours":15.518007383232872,"endHours":17.216729379555275,"quality":"neutral"},{"name":"Labha","start":"17:13","end":"18:55","startHours":17.216729379555275,"endHours":18.915451375877677,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:55","end":"20:13","startHours":18.915451375877677,"endHours":20.216729379555275,"quality":"inauspicious"},{"name":"Chala","start":"20:13","end":"21:31","startHours":20.216729379555275,"endHours":21.51800738323287,"quality":"neutral"},{"name":"Labha","start":"21:31","end":"22:49","startHours":21.51800738323287,"endHours":22.81928538691047,"quality":"auspicious"},{"name":"Amṛta","start":"22:49","end":"00:07","startHours":22.81928538691047,"endHours":24.120563390588067,"quality":"auspicious"},{"name":"Kāla","start":"00:07","end":"01:25","startHours":24.120563390588067,"endHours":25.421841394265666,"quality":"inauspicious"},{"name":"Śubha","start":"01:25","end":"02:43","startHours":25.421841394265666,"endHours":26.723119397943265,"quality":"auspicious"},{"name":"Roga","start":"02:43","end":"04:01","startHours":26.723119397943265,"endHours":28.02439740162086,"quality":"inauspicious"},{"name":"Udveg","start":"04:01","end":"05:20","startHours":28.02439740162086,"endHours":29.32567540529846,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:20","end":"06:20","startHours":5.325675405298458,"endHours":6.325675405298458,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:20","end":"07:20","startHours":6.325675405298458,"endHours":7.325675405298458,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:20","end":"08:20","startHours":7.325675405298458,"endHours":8.325675405298458,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:20","end":"09:20","startHours":8.325675405298458,"endHours":9.325675405298458,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:20","end":"10:20","startHours":9.325675405298458,"endHours":10.325675405298458,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:20","end":"11:20","startHours":10.325675405298458,"endHours":11.325675405298458,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:20","end":"12:20","startHours":11.325675405298458,"endHours":12.325675405298458,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:20","end":"13:20","startHours":12.325675405298458,"endHours":13.325675405298458,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:20","end":"14:20","startHours":13.325675405298458,"endHours":14.325675405298458,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:20","end":"15:20","startHours":14.325675405298458,"endHours":15.325675405298458,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:20","end":"16:20","startHours":15.325675405298458,"endHours":16.32567540529846,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:20","end":"17:20","startHours":16.32567540529846,"endHours":17.32567540529846,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:20","end":"18:20","startHours":17.32567540529846,"endHours":18.32567540529846,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:20","end":"19:20","startHours":18.32567540529846,"endHours":19.32567540529846,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:20","end":"20:20","startHours":19.32567540529846,"endHours":20.32567540529846,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:20","end":"21:20","startHours":20.32567540529846,"endHours":21.32567540529846,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:20","end":"22:20","startHours":21.32567540529846,"endHours":22.32567540529846,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:20","end":"23:20","startHours":22.32567540529846,"endHours":23.32567540529846,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:20","end":"00:20","startHours":23.32567540529846,"endHours":24.32567540529846,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:20","end":"01:20","startHours":24.32567540529846,"endHours":25.32567540529846,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:20","end":"02:20","startHours":25.32567540529846,"endHours":26.32567540529846,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:20","end":"03:20","startHours":26.32567540529846,"endHours":27.32567540529846,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:20","end":"04:20","startHours":27.32567540529846,"endHours":28.32567540529846,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:20","end":"05:20","startHours":28.32567540529846,"endHours":29.32567540529846,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.535343338547847,"eotMinutes":-6.049803435283957,"ayanamsa":20.536}},"calendars":{"vikram_samvat":1819,"vikram_samvatsara":"Manmatha","saka_samvat":1684,"saka_samvatsara":"Citrabhānu","bengali_samvat":1169,"malayalam_era":938,"nanakshahi_year":293,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Āṣāḍha","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":"Śrāvaṇa Kṛṣṇa Amāvasyā · Vikram 1819 Manmatha · Śaka 1684 Citrabhānu"},"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":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","relevance":0.5},{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","relevance":0.5}]},"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 July 21, 1762 CE · Ayodhyā · Vidhyamitra","description":"July 21, 1762 CE for Ayodhyā: Kṛṣṇa Amāvasyā, sūryodaya 05:20, sūryāsta 18:55.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/1762-07-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/1762-07-21","sa":"https://sa.vidhyamitra.com/city/ayodhya/1762-07-21","hi":"https://hi.vidhyamitra.com/city/ayodhya/1762-07-21","x-default":"https://vidhyamitra.com/city/ayodhya/1762-07-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T23:14:09.160Z","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":"2026-05-31T23:14:09.160Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T23:14:09.160Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}