{"id":"vidhyamitra:city-day:ayodhya:2031-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2031-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2031-07-13","date_display":"July 13, 2031 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":2031,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463060.770833,"kali_year":5133,"ahargana":1874595.2708,"sun":{"sidereal_longitude":85.7161,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":10.9769,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":285.2608,"elapsed_within_tithi_degrees":9.2608},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":10.9769,"elapsed_within_degrees":10.9769},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":96.6929},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2031,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2463060.770833,"ahargana":1874595.2708,"kali_year":5133,"ayanamsa_lahiri":24.2934,"grahas":{"sun":{"sidereal_longitude":86.203123,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":14.25152300000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false,"latitude":1.8248},"mars":{"sidereal_longitude":194.92482300000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":112.27362300000004,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":236.56352300000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":120.61252300000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":true},"saturn":{"sidereal_longitude":52.951323,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":214.9214,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":34.9214,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2031,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463060.770833,"kali_year":5133,"ahargana":1874595.2708,"sun":{"sidereal_longitude":85.7161,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":10.9769,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":285.2608,"elapsed_within_tithi_degrees":9.2608},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":10.9769,"elapsed_within_degrees":10.9769},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":96.6929},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.825,"elongation":74.739},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.825,"opposition_distance":105.261}},"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":"05:16","sunsetLocal":"18:57","solarNoonLocal":"12:07","dayLengthHours":13.697130104526842,"dayLengthDisplay":"13 Hours 41 Mins 50 Secs","nightLengthDisplay":"10 Hours 18 Mins 10 Secs","moonriseLocal":"00:46","moonsetLocal":"13:51","rahuKala":{"name":"Rāhu Kāla","start":"17:15","end":"18:57","startHours":17.24551426996691,"endHours":18.957655533032767,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:07","end":"13:49","startHours":12.109090480769346,"endHours":13.821231743835202,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:32","end":"17:15","startHours":15.533373006901058,"endHours":17.24551426996691,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:27","end":"08:55","startHours":8.456522452895523,"endHours":8.913093456379752,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:50","end":"06:12","startHours":5.831239182861212,"endHours":6.196495985648594,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:34","startHours":11.652519477285118,"endHours":12.565661484253575,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:26","end":"04:21","startHours":3.434241414569014,"endHours":4.3473834215374705,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:07","end":"05:16","startHours":4.119097919795356,"endHours":5.260525428505926,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:24","end":"15:18","startHours":14.391945498190488,"endHours":15.305087505158944,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:45","end":"19:09","startHours":18.757655533032768,"endHours":19.157655533032766,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:57","end":"19:32","startHours":18.957655533032767,"endHours":19.528369287388053,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:42","end":"20:27","startHours":18.707655533032767,"endHours":20.457655533032767,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:34","startHours":23.652519477285118,"endHours":24.565661484253575,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:16","end":"06:58","startHours":5.260525428505926,"endHours":6.972666691571781,"quality":"inauspicious"},{"name":"Chala","start":"06:58","end":"08:41","startHours":6.972666691571781,"endHours":8.684807954637638,"quality":"neutral"},{"name":"Labha","start":"08:41","end":"10:24","startHours":8.684807954637638,"endHours":10.396949217703492,"quality":"auspicious"},{"name":"Amṛta","start":"10:24","end":"12:07","startHours":10.396949217703492,"endHours":12.109090480769346,"quality":"auspicious"},{"name":"Kāla","start":"12:07","end":"13:49","startHours":12.109090480769346,"endHours":13.821231743835202,"quality":"inauspicious"},{"name":"Śubha","start":"13:49","end":"15:32","startHours":13.821231743835202,"endHours":15.533373006901058,"quality":"auspicious"},{"name":"Roga","start":"15:32","end":"17:15","startHours":15.533373006901058,"endHours":17.24551426996691,"quality":"inauspicious"},{"name":"Udveg","start":"17:15","end":"18:57","startHours":17.24551426996691,"endHours":18.957655533032767,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:57","end":"20:15","startHours":18.957655533032767,"endHours":20.24551426996691,"quality":"auspicious"},{"name":"Roga","start":"20:15","end":"21:32","startHours":20.24551426996691,"endHours":21.53337300690106,"quality":"inauspicious"},{"name":"Udveg","start":"21:32","end":"22:49","startHours":21.53337300690106,"endHours":22.821231743835202,"quality":"inauspicious"},{"name":"Chala","start":"22:49","end":"00:07","startHours":22.821231743835202,"endHours":24.109090480769346,"quality":"neutral"},{"name":"Labha","start":"00:07","end":"01:24","startHours":24.109090480769346,"endHours":25.39694921770349,"quality":"auspicious"},{"name":"Amṛta","start":"01:24","end":"02:41","startHours":25.39694921770349,"endHours":26.684807954637634,"quality":"auspicious"},{"name":"Kāla","start":"02:41","end":"03:58","startHours":26.684807954637634,"endHours":27.97266669157178,"quality":"inauspicious"},{"name":"Śubha","start":"03:58","end":"05:16","startHours":27.97266669157178,"endHours":29.260525428505925,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:16","end":"06:16","startHours":5.260525428505926,"endHours":6.260525428505926,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:16","end":"07:16","startHours":6.260525428505926,"endHours":7.260525428505926,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:16","end":"08:16","startHours":7.260525428505926,"endHours":8.260525428505925,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:16","end":"09:16","startHours":8.260525428505925,"endHours":9.260525428505925,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:16","end":"10:16","startHours":9.260525428505925,"endHours":10.260525428505925,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:16","end":"11:16","startHours":10.260525428505925,"endHours":11.260525428505925,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:16","end":"12:16","startHours":11.260525428505925,"endHours":12.260525428505925,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:16","end":"13:16","startHours":12.260525428505925,"endHours":13.260525428505925,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:16","end":"14:16","startHours":13.260525428505925,"endHours":14.260525428505925,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:16","end":"15:16","startHours":14.260525428505925,"endHours":15.260525428505925,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:16","end":"16:16","startHours":15.260525428505925,"endHours":16.260525428505925,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:16","end":"17:16","startHours":16.260525428505925,"endHours":17.260525428505925,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:16","end":"18:16","startHours":17.260525428505925,"endHours":18.260525428505925,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:16","end":"19:16","startHours":18.260525428505925,"endHours":19.260525428505925,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:16","end":"20:16","startHours":19.260525428505925,"endHours":20.260525428505925,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:16","end":"21:16","startHours":20.260525428505925,"endHours":21.260525428505925,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:16","end":"22:16","startHours":21.260525428505925,"endHours":22.260525428505925,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:16","end":"23:16","startHours":22.260525428505925,"endHours":23.260525428505925,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:16","end":"00:16","startHours":23.260525428505925,"endHours":24.260525428505925,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:16","end":"01:16","startHours":24.260525428505925,"endHours":25.260525428505925,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:16","end":"02:16","startHours":25.260525428505925,"endHours":26.260525428505925,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:16","end":"03:16","startHours":26.260525428505925,"endHours":27.260525428505925,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:16","end":"04:16","startHours":27.260525428505925,"endHours":28.260525428505925,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:16","end":"05:16","startHours":28.260525428505925,"endHours":29.260525428505925,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","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":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":21.87317772359769,"eotMinutes":-5.361428846160681,"ayanamsa":24.2934}},"calendars":{"vikram_samvat":2088,"vikram_samvatsara":"Raktākṣī","saka_samvat":1953,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1438,"malayalam_era":1207,"nanakshahi_year":562,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Navamī · Vikram 2088 Raktākṣī · Śaka 1953 Virodhakṛt"},"festivals":[{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi":"Mithuna"},"precedence":5}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","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 13, 2031 CE · Ayodhyā · Vidhyamitra","description":"July 13, 2031 CE for Ayodhyā: Kṛṣṇa Navamī, sūryodaya 05:16, sūryāsta 18:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2031-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2031-07-13","sa":"https://sa.vidhyamitra.com/city/ayodhya/2031-07-13","hi":"https://hi.vidhyamitra.com/city/ayodhya/2031-07-13","x-default":"https://vidhyamitra.com/city/ayodhya/2031-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T21:07:41.488Z","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":"2026-05-14T21:07:41.488Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T21:07:41.488Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}