{"id":"vidhyamitra:city-day:berlin:2159-10-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2159-10-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-10-20","date_display":"October 20, 2159 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":2159,"month":10,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509910.770833,"kali_year":5261,"ahargana":1921445.2708,"sun":{"sidereal_longitude":179.2435,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":277.9882,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":98.7448,"elapsed_within_tithi_degrees":2.7448},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":277.9882,"elapsed_within_degrees":11.3216},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":97.2317},"karana":{"half_tithi_index":16,"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":2159,"month":10,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509910.770833,"ahargana":1921445.2708,"kali_year":5261,"ayanamsa_lahiri":26.0853,"grahas":{"sun":{"sidereal_longitude":180.36050899999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":277.3893089999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false,"latitude":1.929},"mars":{"sidereal_longitude":269.56450900000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":165.53410899999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":177.320109,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":135.19520899999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":183.17270899999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":252.5829,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":72.5829,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2159,"month":10,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509910.770833,"kali_year":5261,"ahargana":1921445.2708,"sun":{"sidereal_longitude":179.2435,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":277.9882,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":98.7448,"elapsed_within_tithi_degrees":2.7448},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":277.9882,"elapsed_within_degrees":11.3216},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":97.2317},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.929,"elongation":98.745},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.929,"opposition_distance":81.255}},"eclipse_window_40days":[]},"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"tier2":{"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"sunriseLocal":"06:39","sunsetLocal":"17:02","solarNoonLocal":"11:51","dayLengthHours":10.380221430337174,"dayLengthDisplay":"10 Hours 22 Mins 49 Secs","nightLengthDisplay":"13 Hours 37 Mins 11 Secs","moonriseLocal":"14:03","moonsetLocal":"22:34","rahuKala":{"name":"Rāhu Kāla","start":"09:15","end":"10:33","startHours":9.249663455011854,"endHours":10.547191133804002,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:09","end":"14:26","startHours":13.142246491388295,"endHours":14.439774170180442,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:39","end":"07:57","startHours":6.654608097427561,"endHours":7.952135776219707,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:25","startHours":9.076659764506235,"endHours":9.422667145517474,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:05","end":"07:22","startHours":7.08711732369161,"endHours":7.363923228500601,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:30","end":"12:11","startHours":11.498711431584908,"endHours":12.190726193607386,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:16","end":"05:58","startHours":5.270578573382604,"endHours":5.962593335405082,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:47","end":"06:39","startHours":5.789589644899463,"endHours":6.654608097427561,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:34","end":"14:16","startHours":13.574755717652344,"endHours":14.266770479674822,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:50","end":"17:14","startHours":16.834829527764736,"endHours":17.234829527764735,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:02","end":"17:28","startHours":17.034829527764735,"endHours":17.467338754028784,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:47","end":"18:32","startHours":16.784829527764735,"endHours":18.534829527764735,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:30","end":"00:11","startHours":23.49871143158491,"endHours":24.19072619360739,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:39","end":"07:57","startHours":6.654608097427561,"endHours":7.952135776219707,"quality":"inauspicious"},{"name":"Śubha","start":"07:57","end":"09:15","startHours":7.952135776219707,"endHours":9.249663455011854,"quality":"auspicious"},{"name":"Roga","start":"09:15","end":"10:33","startHours":9.249663455011854,"endHours":10.547191133804002,"quality":"inauspicious"},{"name":"Udveg","start":"10:33","end":"11:51","startHours":10.547191133804002,"endHours":11.844718812596149,"quality":"inauspicious"},{"name":"Chala","start":"11:51","end":"13:09","startHours":11.844718812596149,"endHours":13.142246491388295,"quality":"neutral"},{"name":"Labha","start":"13:09","end":"14:26","startHours":13.142246491388295,"endHours":14.439774170180442,"quality":"auspicious"},{"name":"Amṛta","start":"14:26","end":"15:44","startHours":14.439774170180442,"endHours":15.737301848972589,"quality":"auspicious"},{"name":"Kāla","start":"15:44","end":"17:02","startHours":15.737301848972589,"endHours":17.034829527764735,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:02","end":"18:44","startHours":17.034829527764735,"endHours":18.73730184897259,"quality":"auspicious"},{"name":"Amṛta","start":"18:44","end":"20:26","startHours":18.73730184897259,"endHours":20.439774170180442,"quality":"auspicious"},{"name":"Kāla","start":"20:26","end":"22:09","startHours":20.439774170180442,"endHours":22.142246491388295,"quality":"inauspicious"},{"name":"Śubha","start":"22:09","end":"23:51","startHours":22.142246491388295,"endHours":23.84471881259615,"quality":"auspicious"},{"name":"Roga","start":"23:51","end":"01:33","startHours":23.84471881259615,"endHours":25.547191133804,"quality":"inauspicious"},{"name":"Udveg","start":"01:33","end":"03:15","startHours":25.547191133804,"endHours":27.249663455011856,"quality":"inauspicious"},{"name":"Chala","start":"03:15","end":"04:57","startHours":27.249663455011856,"endHours":28.952135776219706,"quality":"neutral"},{"name":"Labha","start":"04:57","end":"06:39","startHours":28.952135776219706,"endHours":30.654608097427563,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:39","end":"07:39","startHours":6.654608097427561,"endHours":7.654608097427561,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:39","end":"08:39","startHours":7.654608097427561,"endHours":8.65460809742756,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:39","end":"09:39","startHours":8.65460809742756,"endHours":9.65460809742756,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:39","end":"10:39","startHours":9.65460809742756,"endHours":10.65460809742756,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:39","end":"11:39","startHours":10.65460809742756,"endHours":11.65460809742756,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:39","end":"12:39","startHours":11.65460809742756,"endHours":12.65460809742756,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:39","end":"13:39","startHours":12.65460809742756,"endHours":13.65460809742756,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:39","end":"14:39","startHours":13.65460809742756,"endHours":14.65460809742756,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:39","end":"15:39","startHours":14.65460809742756,"endHours":15.65460809742756,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:39","end":"16:39","startHours":15.65460809742756,"endHours":16.654608097427563,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:39","end":"17:39","startHours":16.654608097427563,"endHours":17.654608097427563,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:39","end":"18:39","startHours":17.654608097427563,"endHours":18.654608097427563,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:39","end":"19:39","startHours":18.654608097427563,"endHours":19.654608097427563,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:39","end":"20:39","startHours":19.654608097427563,"endHours":20.654608097427563,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:39","end":"21:39","startHours":20.654608097427563,"endHours":21.654608097427563,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:39","end":"22:39","startHours":21.654608097427563,"endHours":22.654608097427563,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:39","end":"23:39","startHours":22.654608097427563,"endHours":23.654608097427563,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:39","end":"00:39","startHours":23.654608097427563,"endHours":24.654608097427563,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:39","end":"01:39","startHours":24.654608097427563,"endHours":25.654608097427563,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:39","end":"02:39","startHours":25.654608097427563,"endHours":26.654608097427563,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:39","end":"03:39","startHours":26.654608097427563,"endHours":27.654608097427563,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:39","end":"04:39","startHours":27.654608097427563,"endHours":28.654608097427563,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:39","end":"05:39","startHours":28.654608097427563,"endHours":29.654608097427563,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:39","end":"06:39","startHours":29.654608097427563,"endHours":30.654608097427563,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-10.202670862350274,"eotMinutes":15.696871244231174,"ayanamsa":26.0853}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Navamī · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"festivals":[{"id":"mahanavami","name":"Mahā-Navamī","name_sanskrit":"महानवमी","tradition":"Shakta","associated_deity":"Devī Durgā","significance":"9th day of Śāradīya Navrātri; Devī's final victory.","vrata":true,"detection":{"tithi_number":9,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":1}],"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":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","url":"/day/-1626101-04-03","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"berlin"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 20, 2159 CE · Berlin, Germany · Vidhyamitra","description":"October 20, 2159 CE for Berlin, Germany: Śukla Navamī, sūryodaya 06:39, sūryāsta 17:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2159-10-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2159-10-20","sa":"https://sa.vidhyamitra.com/city/berlin/2159-10-20","hi":"https://hi.vidhyamitra.com/city/berlin/2159-10-20","x-default":"https://vidhyamitra.com/city/berlin/2159-10-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T12:06:52.212Z","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":"2026-06-02T12:06:52.212Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T12:06:52.212Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}