{"id":"vidhyamitra:city-day:ayodhya:2321-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2321-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2321-01-13","date_display":"January 13, 2321 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":2321,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2568799.770833,"kali_year":5422,"ahargana":1980334.2708,"sun":{"sidereal_longitude":262.9604,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":55.2027,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":152.2423,"elapsed_within_tithi_degrees":8.2423},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":55.2027,"elapsed_within_degrees":1.8694},"yoga":{"number":24,"name":"Śukla","sum_longitude":318.1631},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2321,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2568799.770833,"ahargana":1980334.2708,"kali_year":5422,"ayanamsa_lahiri":28.3376,"grahas":{"sun":{"sidereal_longitude":263.89221599999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":56.54781600000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false,"latitude":3.0582},"mars":{"sidereal_longitude":223.69151599999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":242.037016,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":23.468015999999977,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":232.86861599999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":333.918816,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":12.3603,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":192.3603,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","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":2321,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2568799.770833,"kali_year":5422,"ahargana":1980334.2708,"sun":{"sidereal_longitude":262.9604,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":55.2027,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":152.2423,"elapsed_within_tithi_degrees":8.2423},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":55.2027,"elapsed_within_degrees":1.8694},"yoga":{"number":24,"name":"Śukla","sum_longitude":318.1631},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.058,"elongation":152.242},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.058,"opposition_distance":27.758}},"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":"06:52","sunsetLocal":"17:28","solarNoonLocal":"12:10","dayLengthHours":10.597945847342459,"dayLengthDisplay":"10 Hours 35 Mins 53 Secs","nightLengthDisplay":"13 Hours 24 Mins 07 Secs","moonriseLocal":"15:27","moonsetLocal":"05:14","rahuKala":{"name":"Rāhu Kāla","start":"13:29","end":"14:49","startHours":13.488408755774035,"endHours":14.813151986691842,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:52","end":"08:11","startHours":6.864692601184999,"endHours":8.189435832102806,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:31","end":"10:50","startHours":9.514179063020613,"endHours":10.83892229393842,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:20","end":"09:41","startHours":9.337546632231573,"endHours":9.690811493809655,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:18","end":"07:35","startHours":7.306273678157602,"endHours":7.588885567420068,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:31","startHours":11.810400663278147,"endHours":12.516930386434309,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:27","end":"06:09","startHours":5.451633154872671,"endHours":6.158162878028835,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:59","end":"06:52","startHours":5.981530447239795,"endHours":6.864692601184999,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:38","startHours":13.929989832746639,"endHours":14.636519555902803,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:16","end":"17:40","startHours":17.262638448527458,"endHours":17.662638448527456,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:28","end":"17:54","startHours":17.462638448527457,"endHours":17.90421952550006,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:13","end":"18:58","startHours":17.212638448527457,"endHours":18.962638448527457,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:31","startHours":23.810400663278145,"endHours":24.51693038643431,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:52","end":"08:11","startHours":6.864692601184999,"endHours":8.189435832102806,"quality":"auspicious"},{"name":"Roga","start":"08:11","end":"09:31","startHours":8.189435832102806,"endHours":9.514179063020613,"quality":"inauspicious"},{"name":"Udveg","start":"09:31","end":"10:50","startHours":9.514179063020613,"endHours":10.83892229393842,"quality":"inauspicious"},{"name":"Chala","start":"10:50","end":"12:10","startHours":10.83892229393842,"endHours":12.163665524856228,"quality":"neutral"},{"name":"Labha","start":"12:10","end":"13:29","startHours":12.163665524856228,"endHours":13.488408755774035,"quality":"auspicious"},{"name":"Amṛta","start":"13:29","end":"14:49","startHours":13.488408755774035,"endHours":14.813151986691842,"quality":"auspicious"},{"name":"Kāla","start":"14:49","end":"16:08","startHours":14.813151986691842,"endHours":16.13789521760965,"quality":"inauspicious"},{"name":"Śubha","start":"16:08","end":"17:28","startHours":16.13789521760965,"endHours":17.462638448527457,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:28","end":"19:08","startHours":17.462638448527457,"endHours":19.13789521760965,"quality":"auspicious"},{"name":"Kāla","start":"19:08","end":"20:49","startHours":19.13789521760965,"endHours":20.813151986691842,"quality":"inauspicious"},{"name":"Śubha","start":"20:49","end":"22:29","startHours":20.813151986691842,"endHours":22.488408755774035,"quality":"auspicious"},{"name":"Roga","start":"22:29","end":"00:10","startHours":22.488408755774035,"endHours":24.163665524856228,"quality":"inauspicious"},{"name":"Udveg","start":"00:10","end":"01:50","startHours":24.163665524856228,"endHours":25.83892229393842,"quality":"inauspicious"},{"name":"Chala","start":"01:50","end":"03:31","startHours":25.83892229393842,"endHours":27.514179063020613,"quality":"neutral"},{"name":"Labha","start":"03:31","end":"05:11","startHours":27.514179063020613,"endHours":29.189435832102806,"quality":"auspicious"},{"name":"Amṛta","start":"05:11","end":"06:52","startHours":29.189435832102806,"endHours":30.864692601185,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:52","end":"07:52","startHours":6.864692601184999,"endHours":7.864692601184999,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:52","end":"08:52","startHours":7.864692601184999,"endHours":8.864692601184998,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:52","end":"09:52","startHours":8.864692601184998,"endHours":9.864692601184998,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:52","end":"10:52","startHours":9.864692601184998,"endHours":10.864692601184998,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:52","end":"11:52","startHours":10.864692601184998,"endHours":11.864692601184998,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:52","end":"12:52","startHours":11.864692601184998,"endHours":12.864692601184998,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:52","end":"13:52","startHours":12.864692601184998,"endHours":13.864692601184998,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:52","end":"14:52","startHours":13.864692601184998,"endHours":14.864692601184998,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:52","end":"15:52","startHours":14.864692601184998,"endHours":15.864692601184998,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:52","end":"16:52","startHours":15.864692601184998,"endHours":16.864692601185,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:52","end":"17:52","startHours":16.864692601185,"endHours":17.864692601185,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:52","end":"18:52","startHours":17.864692601185,"endHours":18.864692601185,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:52","end":"19:52","startHours":18.864692601185,"endHours":19.864692601185,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:52","end":"20:52","startHours":19.864692601185,"endHours":20.864692601185,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:52","end":"21:52","startHours":20.864692601185,"endHours":21.864692601185,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:52","end":"22:52","startHours":21.864692601185,"endHours":22.864692601185,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:52","end":"23:52","startHours":22.864692601185,"endHours":23.864692601185,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:52","end":"00:52","startHours":23.864692601185,"endHours":24.864692601185,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:52","end":"01:52","startHours":24.864692601185,"endHours":25.864692601185,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:52","end":"02:52","startHours":25.864692601185,"endHours":26.864692601185,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:52","end":"03:52","startHours":26.864692601185,"endHours":27.864692601185,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:52","end":"04:52","startHours":27.864692601185,"endHours":28.864692601185,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:52","end":"05:52","startHours":28.864692601185,"endHours":29.864692601185,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:52","end":"06:52","startHours":29.864692601185,"endHours":30.864692601185,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-21.60283347970785,"eotMinutes":-8.635931491373626,"ayanamsa":28.3376}},"calendars":{"vikram_samvat":2378,"vikram_samvatsara":"Ānanda","saka_samvat":2243,"saka_samvatsara":"Plava","bengali_samvat":1728,"malayalam_era":1497,"nanakshahi_year":852,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Trayodaśī · Vikram 2378 Ānanda · Śaka 2243 Plava"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 January 13, 2321 CE · Ayodhyā · Vidhyamitra","description":"January 13, 2321 CE for Ayodhyā: Śukla Trayodaśī, sūryodaya 06:52, sūryāsta 17:28.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2321-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2321-01-13","sa":"https://sa.vidhyamitra.com/city/ayodhya/2321-01-13","hi":"https://hi.vidhyamitra.com/city/ayodhya/2321-01-13","x-default":"https://vidhyamitra.com/city/ayodhya/2321-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T18:48:46.708Z","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":"2026-06-03T18:48:46.708Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T18:48:46.708Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}