{"id":"vidhyamitra:city-day:ayodhya:2040-01-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2040-01-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-01-17","date_display":"January 17, 2040 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":2040,"month":1,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466170.770833,"kali_year":5141,"ahargana":1877705.2708,"sun":{"sidereal_longitude":271.9092,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":310.5022,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":38.593,"elapsed_within_tithi_degrees":2.593},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":310.5022,"elapsed_within_degrees":3.8356},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":222.4115},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2040,"month":1,"day":17,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466170.770833,"ahargana":1877705.2708,"kali_year":5141,"ayanamsa_lahiri":24.4124,"grahas":{"sun":{"sidereal_longitude":272.106098,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":312.139598,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false,"latitude":-4.4364},"mars":{"sidereal_longitude":71.604398,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":279.155298,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":156.657198,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":238.43769799999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":166.87009799999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":50.1386,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":230.1386,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2040,"month":1,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466170.770833,"kali_year":5141,"ahargana":1877705.2708,"sun":{"sidereal_longitude":271.9092,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":310.5022,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":38.593,"elapsed_within_tithi_degrees":2.593},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":310.5022,"elapsed_within_degrees":3.8356},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":222.4115},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.436,"elongation":38.593},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.436,"opposition_distance":141.407}},"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":"17:31","solarNoonLocal":"12:11","dayLengthHours":10.656729317861448,"dayLengthDisplay":"10 Hours 39 Mins 24 Secs","nightLengthDisplay":"13 Hours 20 Mins 36 Secs","moonriseLocal":"09:07","moonsetLocal":"20:35","rahuKala":{"name":"Rāhu Kāla","start":"14:51","end":"16:11","startHours":14.851017141900506,"endHours":16.183108306633187,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:31","end":"10:51","startHours":9.522652482969782,"endHours":10.854743647702463,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:11","end":"13:31","startHours":12.186834812435144,"endHours":13.518925977167825,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:21","end":"09:42","startHours":9.345040327672091,"endHours":9.700264638267473,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:18","end":"07:35","startHours":7.302500541748648,"endHours":7.586679990224953,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:33","startHours":11.831610501839762,"endHours":12.542059123030526,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:26","end":"06:09","startHours":5.437572911122895,"endHours":6.148021532313658,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:58","end":"06:52","startHours":5.970409377015967,"endHours":6.858470153504421,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:40","startHours":13.962956365412053,"endHours":14.673404986602815,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:19","end":"17:43","startHours":17.31519947136587,"endHours":17.715199471365867,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:31","end":"17:58","startHours":17.515199471365868,"endHours":17.959229859610094,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:16","end":"19:01","startHours":17.265199471365868,"endHours":19.015199471365868,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:33","startHours":23.831610501839762,"endHours":24.542059123030526,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:52","end":"08:11","startHours":6.858470153504421,"endHours":8.190561318237101,"quality":"inauspicious"},{"name":"Udveg","start":"08:11","end":"09:31","startHours":8.190561318237101,"endHours":9.522652482969782,"quality":"inauspicious"},{"name":"Chala","start":"09:31","end":"10:51","startHours":9.522652482969782,"endHours":10.854743647702463,"quality":"neutral"},{"name":"Labha","start":"10:51","end":"12:11","startHours":10.854743647702463,"endHours":12.186834812435144,"quality":"auspicious"},{"name":"Amṛta","start":"12:11","end":"13:31","startHours":12.186834812435144,"endHours":13.518925977167825,"quality":"auspicious"},{"name":"Kāla","start":"13:31","end":"14:51","startHours":13.518925977167825,"endHours":14.851017141900506,"quality":"inauspicious"},{"name":"Śubha","start":"14:51","end":"16:11","startHours":14.851017141900506,"endHours":16.183108306633187,"quality":"auspicious"},{"name":"Roga","start":"16:11","end":"17:31","startHours":16.183108306633187,"endHours":17.515199471365868,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:31","end":"19:11","startHours":17.515199471365868,"endHours":19.183108306633187,"quality":"inauspicious"},{"name":"Śubha","start":"19:11","end":"20:51","startHours":19.183108306633187,"endHours":20.851017141900506,"quality":"auspicious"},{"name":"Roga","start":"20:51","end":"22:31","startHours":20.851017141900506,"endHours":22.518925977167825,"quality":"inauspicious"},{"name":"Udveg","start":"22:31","end":"00:11","startHours":22.518925977167825,"endHours":24.186834812435144,"quality":"inauspicious"},{"name":"Chala","start":"00:11","end":"01:51","startHours":24.186834812435144,"endHours":25.854743647702463,"quality":"neutral"},{"name":"Labha","start":"01:51","end":"03:31","startHours":25.854743647702463,"endHours":27.522652482969782,"quality":"auspicious"},{"name":"Amṛta","start":"03:31","end":"05:11","startHours":27.522652482969782,"endHours":29.1905613182371,"quality":"auspicious"},{"name":"Kāla","start":"05:11","end":"06:52","startHours":29.1905613182371,"endHours":30.85847015350442,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:52","end":"07:52","startHours":6.858470153504421,"endHours":7.858470153504421,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:52","end":"08:52","startHours":7.858470153504421,"endHours":8.85847015350442,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:52","end":"09:52","startHours":8.85847015350442,"endHours":9.85847015350442,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:52","end":"10:52","startHours":9.85847015350442,"endHours":10.85847015350442,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:52","end":"11:52","startHours":10.85847015350442,"endHours":11.85847015350442,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:52","end":"12:52","startHours":11.85847015350442,"endHours":12.85847015350442,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:52","end":"13:52","startHours":12.85847015350442,"endHours":13.85847015350442,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:52","end":"14:52","startHours":13.85847015350442,"endHours":14.85847015350442,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:52","end":"15:52","startHours":14.85847015350442,"endHours":15.85847015350442,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:52","end":"16:52","startHours":15.85847015350442,"endHours":16.85847015350442,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:52","end":"17:52","startHours":16.85847015350442,"endHours":17.85847015350442,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:52","end":"18:52","startHours":17.85847015350442,"endHours":18.85847015350442,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:52","end":"19:52","startHours":18.85847015350442,"endHours":19.85847015350442,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:52","end":"20:52","startHours":19.85847015350442,"endHours":20.85847015350442,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:52","end":"21:52","startHours":20.85847015350442,"endHours":21.85847015350442,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:52","end":"22:52","startHours":21.85847015350442,"endHours":22.85847015350442,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:52","end":"23:52","startHours":22.85847015350442,"endHours":23.85847015350442,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:52","end":"00:52","startHours":23.85847015350442,"endHours":24.85847015350442,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:52","end":"01:52","startHours":24.85847015350442,"endHours":25.85847015350442,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:52","end":"02:52","startHours":25.85847015350442,"endHours":26.85847015350442,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:52","end":"03:52","startHours":26.85847015350442,"endHours":27.85847015350442,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:52","end":"04:52","startHours":27.85847015350442,"endHours":28.85847015350442,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:52","end":"05:52","startHours":28.85847015350442,"endHours":29.85847015350442,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:52","end":"06:52","startHours":29.85847015350442,"endHours":30.85847015350442,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-20.847824453354338,"eotMinutes":-10.026088746108654,"ayanamsa":24.4124}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Caturthī · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi":"Makara"},"precedence":2},{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 17, 2040 CE · Ayodhyā · Vidhyamitra","description":"January 17, 2040 CE for Ayodhyā: Śukla Caturthī, sūryodaya 06:52, sūryāsta 17:31.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2040-01-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2040-01-17","sa":"https://sa.vidhyamitra.com/city/ayodhya/2040-01-17","hi":"https://hi.vidhyamitra.com/city/ayodhya/2040-01-17","x-default":"https://vidhyamitra.com/city/ayodhya/2040-01-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T07:56:35.473Z","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":"2026-05-17T07:56:35.473Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-17T07:56:35.473Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}