{"id":"vidhyamitra:city-day:perth:2164-10-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/perth/2164-10-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2164-10-15","date_display":"October 15, 2164 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":2164,"month":10,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511732.770833,"kali_year":5266,"ahargana":1923267.2708,"sun":{"sidereal_longitude":174.9806,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":160.9437,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":345.9632,"elapsed_within_tithi_degrees":9.9632},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":160.9437,"elapsed_within_degrees":0.9437},"yoga":{"number":26,"name":"Indra","sum_longitude":335.9243},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2164,"month":10,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2511732.770833,"ahargana":1923267.2708,"kali_year":5266,"ayanamsa_lahiri":26.155,"grahas":{"sun":{"sidereal_longitude":176.117795,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":162.74039500000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false,"latitude":0.3839},"mars":{"sidereal_longitude":178.22909500000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":198.886395,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":321.535895,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":145.46209499999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":234.58999500000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":156.0446,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":336.0446,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"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":2164,"month":10,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511732.770833,"kali_year":5266,"ahargana":1923267.2708,"sun":{"sidereal_longitude":174.9806,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":160.9437,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":345.9632,"elapsed_within_tithi_degrees":9.9632},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":160.9437,"elapsed_within_degrees":0.9437},"yoga":{"number":26,"name":"Indra","sum_longitude":335.9243},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.384,"elongation":14.037},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.384,"opposition_distance":165.963}},"eclipse_window_40days":[{"offset_days":1,"type":"solar","occurs":true,"moon_latitude":1.382,"elongation":2.079}]},"city":{"slug":"perth","name":"Perth, Australia","lat":-31.9505,"lon":115.8605,"tz_offset_hours":8,"country":"AU","tier":"diaspora"},"tier2":{"city":{"slug":"perth","name":"Perth, Australia","lat":-31.9505,"lon":115.8605,"tz_offset_hours":8,"country":"AU","tier":"diaspora"},"sunriseLocal":"05:36","sunsetLocal":"18:28","solarNoonLocal":"12:02","dayLengthHours":12.860760137216605,"dayLengthDisplay":"12 Hours 51 Mins 39 Secs","nightLengthDisplay":"11 Hours 08 Mins 21 Secs","moonriseLocal":"04:57","moonsetLocal":"17:20","rahuKala":{"name":"Rāhu Kāla","start":"07:12","end":"08:49","startHours":7.205567775688641,"endHours":8.813162792840716,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:25","end":"12:02","startHours":10.420757809992793,"endHours":12.028352827144868,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:38","end":"15:15","startHours":13.635947844296943,"endHours":15.243542861449018,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:36","end":"09:02","startHours":8.598816790553773,"endHours":9.027508795127659,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:08","end":"06:29","startHours":6.133837764253923,"endHours":6.476791367913033,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:36","end":"12:27","startHours":11.59966082257098,"endHours":12.457044831718752,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:53","end":"04:44","startHours":3.883204740241017,"endHours":4.740588749388791,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:32","end":"05:36","startHours":4.526242747101848,"endHours":5.597972758536565,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:10","end":"15:02","startHours":14.171812850014302,"endHours":15.029196859162075,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:16","end":"18:40","startHours":18.25873289575317,"endHours":18.658732895753168,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:28","end":"19:00","startHours":18.45873289575317,"endHours":18.994597901470527,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:13","end":"19:58","startHours":18.20873289575317,"endHours":19.95873289575317,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:36","end":"00:27","startHours":23.59966082257098,"endHours":24.45704483171875,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:36","end":"07:12","startHours":5.597972758536565,"endHours":7.205567775688641,"quality":"auspicious"},{"name":"Kāla","start":"07:12","end":"08:49","startHours":7.205567775688641,"endHours":8.813162792840716,"quality":"inauspicious"},{"name":"Śubha","start":"08:49","end":"10:25","startHours":8.813162792840716,"endHours":10.420757809992793,"quality":"auspicious"},{"name":"Roga","start":"10:25","end":"12:02","startHours":10.420757809992793,"endHours":12.028352827144868,"quality":"inauspicious"},{"name":"Udveg","start":"12:02","end":"13:38","startHours":12.028352827144868,"endHours":13.635947844296943,"quality":"inauspicious"},{"name":"Chala","start":"13:38","end":"15:15","startHours":13.635947844296943,"endHours":15.243542861449018,"quality":"neutral"},{"name":"Labha","start":"15:15","end":"16:51","startHours":15.243542861449018,"endHours":16.851137878601094,"quality":"auspicious"},{"name":"Amṛta","start":"16:51","end":"18:28","startHours":16.851137878601094,"endHours":18.45873289575317,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:28","end":"19:51","startHours":18.45873289575317,"endHours":19.851137878601094,"quality":"neutral"},{"name":"Labha","start":"19:51","end":"21:15","startHours":19.851137878601094,"endHours":21.24354286144902,"quality":"auspicious"},{"name":"Amṛta","start":"21:15","end":"22:38","startHours":21.24354286144902,"endHours":22.635947844296943,"quality":"auspicious"},{"name":"Kāla","start":"22:38","end":"00:02","startHours":22.635947844296943,"endHours":24.028352827144865,"quality":"inauspicious"},{"name":"Śubha","start":"00:02","end":"01:25","startHours":24.028352827144865,"endHours":25.420757809992793,"quality":"auspicious"},{"name":"Roga","start":"01:25","end":"02:49","startHours":25.420757809992793,"endHours":26.813162792840714,"quality":"inauspicious"},{"name":"Udveg","start":"02:49","end":"04:12","startHours":26.813162792840714,"endHours":28.20556777568864,"quality":"inauspicious"},{"name":"Chala","start":"04:12","end":"05:36","startHours":28.20556777568864,"endHours":29.597972758536564,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:36","end":"06:36","startHours":5.597972758536565,"endHours":6.597972758536565,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:36","end":"07:36","startHours":6.597972758536565,"endHours":7.597972758536565,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:36","end":"08:36","startHours":7.597972758536565,"endHours":8.597972758536564,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:36","end":"09:36","startHours":8.597972758536564,"endHours":9.597972758536564,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:36","end":"10:36","startHours":9.597972758536564,"endHours":10.597972758536564,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:36","end":"11:36","startHours":10.597972758536564,"endHours":11.597972758536564,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:36","end":"12:36","startHours":11.597972758536564,"endHours":12.597972758536564,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:36","end":"13:36","startHours":12.597972758536564,"endHours":13.597972758536564,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:36","end":"14:36","startHours":13.597972758536564,"endHours":14.597972758536564,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:36","end":"15:36","startHours":14.597972758536564,"endHours":15.597972758536564,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:36","end":"16:36","startHours":15.597972758536564,"endHours":16.597972758536564,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:36","end":"17:36","startHours":16.597972758536564,"endHours":17.597972758536564,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:36","end":"18:36","startHours":17.597972758536564,"endHours":18.597972758536564,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:36","end":"19:36","startHours":18.597972758536564,"endHours":19.597972758536564,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:36","end":"20:36","startHours":19.597972758536564,"endHours":20.597972758536564,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:36","end":"21:36","startHours":20.597972758536564,"endHours":21.597972758536564,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:36","end":"22:36","startHours":21.597972758536564,"endHours":22.597972758536564,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:36","end":"23:36","startHours":22.597972758536564,"endHours":23.597972758536564,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:36","end":"00:36","startHours":23.597972758536564,"endHours":24.597972758536564,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:36","end":"01:36","startHours":24.597972758536564,"endHours":25.597972758536564,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:36","end":"02:36","startHours":25.597972758536564,"endHours":26.597972758536564,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:36","end":"03:36","startHours":26.597972758536564,"endHours":27.597972758536564,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:36","end":"04:36","startHours":27.597972758536564,"endHours":28.597972758536564,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:36","end":"05:36","startHours":28.597972758536564,"endHours":29.597972758536564,"planetary_lord":"Venus"}],"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":"North-East","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-8.670235539718494,"eotMinutes":14.85683037130801,"ayanamsa":26.155}},"calendars":{"vikram_samvat":2221,"vikram_samvatsara":"Īśvara","saka_samvat":2086,"saka_samvatsara":"Raktākṣī","bengali_samvat":1571,"malayalam_era":1340,"nanakshahi_year":695,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Caturdaśī · Vikram 2221 Īśvara · Śaka 2086 Raktākṣī"},"festivals":[{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"perth"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 15, 2164 CE · Perth, Australia · Vidhyamitra","description":"October 15, 2164 CE for Perth, Australia: Kṛṣṇa Caturdaśī, sūryodaya 05:36, sūryāsta 18:28.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/perth/2164-10-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/perth/2164-10-15","sa":"https://sa.vidhyamitra.com/city/perth/2164-10-15","hi":"https://hi.vidhyamitra.com/city/perth/2164-10-15","x-default":"https://vidhyamitra.com/city/perth/2164-10-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T15:33:10.381Z","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":"2026-06-02T15:33:10.381Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T15:33:10.381Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}