{"id":"vidhyamitra:city-day:vrindavan:2168-01-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2168-01-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2168-01-02","date_display":"January 2, 2168 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":2168,"month":1,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512906.770833,"kali_year":5269,"ahargana":1924441.2708,"sun":{"sidereal_longitude":254.3141,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":160.0342,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":265.7201,"elapsed_within_tithi_degrees":1.7201},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":160.0342,"elapsed_within_degrees":0.0342},"yoga":{"number":5,"name":"Śobhana","sum_longitude":54.3482},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2168,"month":1,"day":2,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2512906.770833,"ahargana":1924441.2708,"kali_year":5269,"ayanamsa_lahiri":26.1999,"grahas":{"sun":{"sidereal_longitude":254.96104000000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":163.46983999999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false,"latitude":4.1164},"mars":{"sidereal_longitude":116.53874000000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":257.48524,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":72.22203999999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":224.97404000000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":273.08574,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":93.8404,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":273.8404,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":2168,"month":1,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512906.770833,"kali_year":5269,"ahargana":1924441.2708,"sun":{"sidereal_longitude":254.3141,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":160.0342,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":265.7201,"elapsed_within_tithi_degrees":1.7201},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":160.0342,"elapsed_within_degrees":0.0342},"yoga":{"number":5,"name":"Śobhana","sum_longitude":54.3482},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.116,"elongation":94.28},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.116,"opposition_distance":85.72}},"eclipse_window_40days":[]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:10","sunsetLocal":"17:37","solarNoonLocal":"12:24","dayLengthHours":10.435064537676858,"dayLengthDisplay":"10 Hours 26 Mins 06 Secs","nightLengthDisplay":"13 Hours 33 Mins 54 Secs","moonriseLocal":"00:23","moonsetLocal":"12:12","rahuKala":{"name":"Rāhu Kāla","start":"09:47","end":"11:05","startHours":9.783109033670009,"endHours":11.087492100879617,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:42","end":"15:00","startHours":13.696258235298831,"endHours":15.000641302508438,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:10","end":"08:29","startHours":7.174342899250795,"endHours":8.478725966460402,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:57","startHours":9.609191291375396,"endHours":9.957026775964623,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:53","startHours":7.60913725498733,"endHours":7.887405642658713,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:44","startHours":12.044039683499996,"endHours":12.739710652678454,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.78300096089388,"endHours":6.478671930072338,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:10","startHours":6.304754187777723,"endHours":7.174342899250795,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"14:50","startHours":14.131052591035367,"endHours":14.826723560213823,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.409407436927655,"endHours":17.809407436927653,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:03","startHours":17.609407436927654,"endHours":18.04420179266419,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.359407436927654,"endHours":19.109407436927654,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:44","startHours":24.044039683499996,"endHours":24.739710652678454,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:10","end":"08:29","startHours":7.174342899250795,"endHours":8.478725966460402,"quality":"inauspicious"},{"name":"Śubha","start":"08:29","end":"09:47","startHours":8.478725966460402,"endHours":9.783109033670009,"quality":"auspicious"},{"name":"Roga","start":"09:47","end":"11:05","startHours":9.783109033670009,"endHours":11.087492100879617,"quality":"inauspicious"},{"name":"Udveg","start":"11:05","end":"12:24","startHours":11.087492100879617,"endHours":12.391875168089225,"quality":"inauspicious"},{"name":"Chala","start":"12:24","end":"13:42","startHours":12.391875168089225,"endHours":13.696258235298831,"quality":"neutral"},{"name":"Labha","start":"13:42","end":"15:00","startHours":13.696258235298831,"endHours":15.000641302508438,"quality":"auspicious"},{"name":"Amṛta","start":"15:00","end":"16:18","startHours":15.000641302508438,"endHours":16.305024369718048,"quality":"auspicious"},{"name":"Kāla","start":"16:18","end":"17:37","startHours":16.305024369718048,"endHours":17.609407436927654,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:37","end":"19:18","startHours":17.609407436927654,"endHours":19.305024369718048,"quality":"auspicious"},{"name":"Amṛta","start":"19:18","end":"21:00","startHours":19.305024369718048,"endHours":21.00064130250844,"quality":"auspicious"},{"name":"Kāla","start":"21:00","end":"22:42","startHours":21.00064130250844,"endHours":22.69625823529883,"quality":"inauspicious"},{"name":"Śubha","start":"22:42","end":"00:24","startHours":22.69625823529883,"endHours":24.391875168089225,"quality":"auspicious"},{"name":"Roga","start":"00:24","end":"02:05","startHours":24.391875168089225,"endHours":26.08749210087962,"quality":"inauspicious"},{"name":"Udveg","start":"02:05","end":"03:47","startHours":26.08749210087962,"endHours":27.78310903367001,"quality":"inauspicious"},{"name":"Chala","start":"03:47","end":"05:29","startHours":27.78310903367001,"endHours":29.478725966460402,"quality":"neutral"},{"name":"Labha","start":"05:29","end":"07:10","startHours":29.478725966460402,"endHours":31.174342899250796,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.174342899250795,"endHours":8.174342899250796,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.174342899250796,"endHours":9.174342899250796,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.174342899250796,"endHours":10.174342899250796,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.174342899250796,"endHours":11.174342899250796,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.174342899250796,"endHours":12.174342899250796,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.174342899250796,"endHours":13.174342899250796,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.174342899250796,"endHours":14.174342899250796,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.174342899250796,"endHours":15.174342899250796,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.174342899250796,"endHours":16.174342899250796,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.174342899250796,"endHours":17.174342899250796,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.174342899250796,"endHours":18.174342899250796,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.174342899250796,"endHours":19.174342899250796,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.174342899250796,"endHours":20.174342899250796,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.174342899250796,"endHours":21.174342899250796,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.174342899250796,"endHours":22.174342899250796,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.174342899250796,"endHours":23.174342899250796,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.174342899250796,"endHours":24.174342899250796,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.174342899250796,"endHours":25.174342899250796,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.174342899250796,"endHours":26.174342899250796,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.174342899250796,"endHours":27.174342899250796,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.174342899250796,"endHours":28.174342899250796,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.174342899250796,"endHours":29.174342899250796,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.174342899250796,"endHours":30.174342899250796,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.174342899250796,"endHours":31.174342899250796,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"East","anandadiYoga":{"name":"Vajra","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":-22.967584461979897,"eotMinutes":-4.149710085353452,"ayanamsa":26.1999}},"calendars":{"vikram_samvat":2225,"vikram_samvatsara":"Vṛṣa","saka_samvat":2090,"saka_samvatsara":"Vibhava","bengali_samvat":1575,"malayalam_era":1344,"nanakshahi_year":699,"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 Aṣṭamī · Vikram 2225 Vṛṣa · Śaka 2090 Vibhava"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"vrindavan"},"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, 2168 CE · Vṛndāvana · Vidhyamitra","description":"January 2, 2168 CE for Vṛndāvana: Kṛṣṇa Aṣṭamī, sūryodaya 07:10, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2168-01-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2168-01-02","sa":"https://sa.vidhyamitra.com/city/vrindavan/2168-01-02","hi":"https://hi.vidhyamitra.com/city/vrindavan/2168-01-02","x-default":"https://vidhyamitra.com/city/vrindavan/2168-01-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T05:30:23.026Z","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":"2026-06-01T05:30:23.026Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T05:30:23.026Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}