{"id":"vidhyamitra:city-day:ayodhya:2165-01-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2165-01-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2165-01-02","date_display":"January 2, 2165 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":2165,"month":1,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511811.770833,"kali_year":5266,"ahargana":1923346.2708,"sun":{"sidereal_longitude":255.1122,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":128.8376,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.7255,"elapsed_within_tithi_degrees":5.7255},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":128.8376,"elapsed_within_degrees":8.8376},"yoga":{"number":2,"name":"Prīti","sum_longitude":23.9498},"karana":{"half_tithi_index":38,"name":"Kaulava"},"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":2165,"month":1,"day":2,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2511811.770833,"ahargana":1923346.2708,"kali_year":5266,"ayanamsa_lahiri":26.158,"grahas":{"sun":{"sidereal_longitude":255.74487699999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":125.783277,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false,"latitude":-1.7583},"mars":{"sidereal_longitude":233.22227700000008,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":251.96467699999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":324.206277,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":244.057677,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":242.98647699999992,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":151.8588,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":331.8588,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"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":2165,"month":1,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511811.770833,"kali_year":5266,"ahargana":1923346.2708,"sun":{"sidereal_longitude":255.1122,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":128.8376,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.7255,"elapsed_within_tithi_degrees":5.7255},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":128.8376,"elapsed_within_degrees":8.8376},"yoga":{"number":2,"name":"Prīti","sum_longitude":23.9498},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.758,"elongation":126.275},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.758,"opposition_distance":53.725}},"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":"06:50","sunsetLocal":"17:20","solarNoonLocal":"12:05","dayLengthHours":10.495064599998612,"dayLengthDisplay":"10 Hours 29 Mins 42 Secs","nightLengthDisplay":"13 Hours 30 Mins 18 Secs","moonriseLocal":"21:01","moonsetLocal":"09:50","rahuKala":{"name":"Rāhu Kāla","start":"12:05","end":"13:24","startHours":12.088895168089223,"endHours":13.40077824308905,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:09","end":"09:28","startHours":8.153245943089745,"endHours":9.465129018089572,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:47","end":"12:05","startHours":10.777012093089397,"endHours":12.088895168089223,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:17","end":"09:38","startHours":9.290211274756262,"endHours":9.640046761422882,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:17","end":"07:34","startHours":7.278657226423194,"endHours":7.558525615756491,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:44","end":"12:26","startHours":11.739059681422603,"endHours":12.438730654755844,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:27","end":"06:09","startHours":5.4420209214234365,"endHours":6.141691894756677,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:58","end":"06:50","startHours":5.966774151423367,"endHours":6.841362868089918,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:50","end":"14:32","startHours":13.838072601422326,"endHours":14.537743574755567,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:08","end":"17:32","startHours":17.13642746808853,"endHours":17.53642746808853,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:20","end":"17:46","startHours":17.33642746808853,"endHours":17.773721826421806,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:05","end":"18:50","startHours":17.08642746808853,"endHours":18.83642746808853,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:44","end":"00:26","startHours":23.739059681422603,"endHours":24.438730654755844,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:50","end":"08:09","startHours":6.841362868089918,"endHours":8.153245943089745,"quality":"auspicious"},{"name":"Amṛta","start":"08:09","end":"09:28","startHours":8.153245943089745,"endHours":9.465129018089572,"quality":"auspicious"},{"name":"Kāla","start":"09:28","end":"10:47","startHours":9.465129018089572,"endHours":10.777012093089397,"quality":"inauspicious"},{"name":"Śubha","start":"10:47","end":"12:05","startHours":10.777012093089397,"endHours":12.088895168089223,"quality":"auspicious"},{"name":"Roga","start":"12:05","end":"13:24","startHours":12.088895168089223,"endHours":13.40077824308905,"quality":"inauspicious"},{"name":"Udveg","start":"13:24","end":"14:43","startHours":13.40077824308905,"endHours":14.712661318088877,"quality":"inauspicious"},{"name":"Chala","start":"14:43","end":"16:01","startHours":14.712661318088877,"endHours":16.024544393088703,"quality":"neutral"},{"name":"Labha","start":"16:01","end":"17:20","startHours":16.024544393088703,"endHours":17.33642746808853,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:20","end":"19:01","startHours":17.33642746808853,"endHours":19.024544393088703,"quality":"inauspicious"},{"name":"Chala","start":"19:01","end":"20:43","startHours":19.024544393088703,"endHours":20.712661318088877,"quality":"neutral"},{"name":"Labha","start":"20:43","end":"22:24","startHours":20.712661318088877,"endHours":22.40077824308905,"quality":"auspicious"},{"name":"Amṛta","start":"22:24","end":"00:05","startHours":22.40077824308905,"endHours":24.088895168089223,"quality":"auspicious"},{"name":"Kāla","start":"00:05","end":"01:47","startHours":24.088895168089223,"endHours":25.777012093089397,"quality":"inauspicious"},{"name":"Śubha","start":"01:47","end":"03:28","startHours":25.777012093089397,"endHours":27.46512901808957,"quality":"auspicious"},{"name":"Roga","start":"03:28","end":"05:09","startHours":27.46512901808957,"endHours":29.153245943089743,"quality":"inauspicious"},{"name":"Udveg","start":"05:09","end":"06:50","startHours":29.153245943089743,"endHours":30.841362868089917,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:50","end":"07:50","startHours":6.841362868089918,"endHours":7.841362868089918,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:50","end":"08:50","startHours":7.841362868089918,"endHours":8.841362868089918,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:50","end":"09:50","startHours":8.841362868089918,"endHours":9.841362868089918,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:50","end":"10:50","startHours":9.841362868089918,"endHours":10.841362868089918,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:50","end":"11:50","startHours":10.841362868089918,"endHours":11.841362868089918,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:50","end":"12:50","startHours":11.841362868089918,"endHours":12.841362868089918,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:50","end":"13:50","startHours":12.841362868089918,"endHours":13.841362868089918,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:50","end":"14:50","startHours":13.841362868089918,"endHours":14.841362868089918,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:50","end":"15:50","startHours":14.841362868089918,"endHours":15.841362868089918,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:50","end":"16:50","startHours":15.841362868089918,"endHours":16.841362868089917,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:50","end":"17:50","startHours":16.841362868089917,"endHours":17.841362868089917,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:50","end":"18:50","startHours":17.841362868089917,"endHours":18.841362868089917,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:50","end":"19:50","startHours":18.841362868089917,"endHours":19.841362868089917,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:50","end":"20:50","startHours":19.841362868089917,"endHours":20.841362868089917,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:50","end":"21:50","startHours":20.841362868089917,"endHours":21.841362868089917,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:50","end":"22:50","startHours":21.841362868089917,"endHours":22.841362868089917,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:50","end":"23:50","startHours":22.841362868089917,"endHours":23.841362868089917,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:50","end":"00:50","startHours":23.841362868089917,"endHours":24.841362868089917,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:50","end":"01:50","startHours":24.841362868089917,"endHours":25.841362868089917,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:50","end":"02:50","startHours":25.841362868089917,"endHours":26.841362868089917,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:50","end":"03:50","startHours":26.841362868089917,"endHours":27.841362868089917,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:50","end":"04:50","startHours":27.841362868089917,"endHours":28.841362868089917,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:50","end":"05:50","startHours":28.841362868089917,"endHours":29.841362868089917,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:50","end":"06:50","startHours":29.841362868089917,"endHours":30.841362868089917,"planetary_lord":"Sun"}],"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":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"South-West","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"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":-22.903527791677806,"eotMinutes":-4.149710085353452,"ayanamsa":26.158}},"calendars":{"vikram_samvat":2222,"vikram_samvatsara":"Bahudhānya","saka_samvat":2087,"saka_samvatsara":"Krodhana","bengali_samvat":1572,"malayalam_era":1341,"nanakshahi_year":696,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","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 Kṛṣṇa Pañcamī · Vikram 2222 Bahudhānya · Śaka 2087 Krodhana"},"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":[]},"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 2, 2165 CE · Ayodhyā · Vidhyamitra","description":"January 2, 2165 CE for Ayodhyā: Kṛṣṇa Pañcamī, sūryodaya 06:50, sūryāsta 17:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2165-01-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2165-01-02","sa":"https://sa.vidhyamitra.com/city/ayodhya/2165-01-02","hi":"https://hi.vidhyamitra.com/city/ayodhya/2165-01-02","x-default":"https://vidhyamitra.com/city/ayodhya/2165-01-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T10:54:48.728Z","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":"2026-05-31T10:54:48.728Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T10:54:48.728Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}